Home / 645.96-969-213.02

Finding the Fourth Proportional to 645.96, 969 and 213.02

Calculator

Solution

The fourth proportional to 645.96, 969 and 213.02 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.96 : 969 = 213.02 : x
  2. Step 2: Convert to fraction form
    645.96/969 = 213.02/x
  3. Step 3: Cross multiply
    645.96x = 969 × 213.02
  4. Step 4: Simplify right side
    645.96x = 206,416.38
  5. Step 5: Solve for x
    x = 206,416.38/645.96
  6. Step 6: Final answer
    x = 319.55

Related Problems

Find fourth proportional to 322.98, 484.50 and 106.51
Half scale
Find fourth proportional to 1,291.92, 1,938 and 426.04
Double scale
Find fourth proportional to 646.96, 970.50 and 214.02
Similar ratio
Find fourth proportional to 968.94, 1,453.50 and 319.53
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.