Power Calculators

y=k/x Inverse Variation Calculator

Find the constant of inverse variation and calculate y for a new x.

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Constant k
40
New y
5

Also available in our Android app, with charts and full breakdown tables.

📘 About the Inverse Variation

Find an inverse variation constant and use y = k/x to calculate another value.

🧮 Formula

Where

  • x1,y1 = known pair
  • x2 = new x
  • k = constant of variation
k = x1y1; y2 = k/x2.

✏️ Worked example

y = 10 when x = 4

You enter
Known x4
Known y10
New x8
You get
Constant k40
New y5

k = 40, so y is 5 when x = 8.

Try this example →

🧭 How to use this calculator

What you enter

  • Known x
  • Known y
  • New x

What you get

  • Constant k
  • New y

💡 Condition

  • The known and new x values must be non-zero.
  • The relationship assumes inverse variation.

❓ Frequently asked questions

What stays constant?

The product x times y remains equal to k.