Calculate golden-ratio shoulder and waist targets, check your shoulder-to-waist ratio, or estimate classic chest, arm, hip, thigh, and calf proportions from wrist size.

Body Golden Ratio Formula

The following formula is used to calculate a body length-to-width ratio. If this ratio is close to the golden ratio (ฯ† โ‰ˆ 1.618), it is sometimes informally described as being โ€œgolden.โ€

BGR = BL / BW
  • Where BGR is the body length-to-width ratio (dimensionless)
  • BL is the total body length (any unit)
  • BW is the total body width (same unit as BL)

To calculate the body ratio, divide the total body length by the total body width. To assess โ€œgolden ratioโ€ closeness, compare the result to ฯ† โ‰ˆ 1.618 (for example, using |BGR โˆ’ ฯ†|).

How to Calculate Body Golden Ratio?

The following example problems outline how to calculate the body length-to-width ratio (and then compare it to ฯ† if desired).

Example Problem #1:

  1. First, determine the total body length (in).
    • The total body length (in) is given as: 72.
  2. Next, determine the total body width (in).
    • The total body width (in) is provided as: 32.
  3. Finally, calculate the body ratio using the equation above: 

BGR = BL / BW

The values given above are inserted into the equation below and the solution is calculated:

BGR = 72 / 32 = 2.25 (dimensionless). Compared with the golden ratio ฯ† โ‰ˆ 1.618, this example result is higher than ฯ†.


Example Problem #2: 

For this problem, the variables required are provided below:

total body length (in) = 60

total body width (in) = 25

Test your knowledge using the equation and check your answer with the calculator above.

BGR = BL / BW = ?