Home / 577.20-864.64-431.36

Finding the Fourth Proportional to 577.20, 864.64 and 431.36

Calculator

Solution

The fourth proportional to 577.20, 864.64 and 431.36 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.20 : 864.64 = 431.36 : x
  2. Step 2: Convert to fraction form
    577.20/864.64 = 431.36/x
  3. Step 3: Cross multiply
    577.20x = 864.64 × 431.36
  4. Step 4: Simplify right side
    577.20x = 372,971.11
  5. Step 5: Solve for x
    x = 372,971.11/577.20
  6. Step 6: Final answer
    x = 646.17

Related Problems

Find fourth proportional to 288.60, 432.32 and 215.68
Half scale
Find fourth proportional to 1,154.40, 1,729.28 and 862.72
Double scale
Find fourth proportional to 578.20, 866.14 and 432.36
Similar ratio
Find fourth proportional to 865.80, 1,296.96 and 647.04
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.