The Broca formula was developed in 1871 by Pierre Paul Broca (a French Army Doctor) to help establish ideal body weight. The formula (Broca Index or BI) formed the benchmark for other calculations that we know today. Initially, the BI was used to work out the normal weight but was later expanded to Ideal Body Weight.

Normal Body Weight (kg) = [Height (cm) - 100]

The Broca formula has different calculations for men and women:

Men: Ideal Body Weight (kg) = [Height (cm) - 100] - ([Height (cm) - 100] x 10%)

Women: Ideal Body Weight (kg) = [Height (cm) - 100] + ([Height (cm) - 100] x 15%)

This formulae is considered out-dated and medical practitioners prefer to use BMI that utilizes weight and height.

### Measuring instruments

You only require a stadiometer to get the correct height.

### The Procedure

To get the normal body weight using BI, only height is required in centimetres. Then, less 100 from the height. To get the Ideal Body Weight, you calculate and subtract 10% of the normal weight.

Example: what is the ideal weight for a man weighing 175 centimetres?

Height = 185 cm

Normal weight = 185 - 100 = 85 kilograms

Ideal body weight = 85kg - 10% = 76.5 kilograms

### The target population

While the Broca Index is not applied because later methods of getting the right weight have been adopted, it is still a good method for people in the middle ages and with average body sizes to estimate their ideal body weights.

### Pros of using BI

• It is relatively simple, and any person can apply it to get clear results.
• Getting an estimation of the ideal body weight is relatively fast.

### Cons of using BI

• It only applies one standard measurement to calculate ideal body weight.
• It can only work well for people of average height and not those with height extremities.
• Not effective for checking the ideal body weight for infants.