Home / 432.23-649.07-410.31

Finding the Fourth Proportional to 432.23, 649.07 and 410.31

Calculator

Solution

The fourth proportional to 432.23, 649.07 and 410.31 is: 616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.23 : 649.07 = 410.31 : x
  2. Step 2: Convert to fraction form
    432.23/649.07 = 410.31/x
  3. Step 3: Cross multiply
    432.23x = 649.07 × 410.31
  4. Step 4: Simplify right side
    432.23x = 266,317.86
  5. Step 5: Solve for x
    x = 266,317.86/432.23
  6. Step 6: Final answer
    x = 616.16

Related Problems

Find fourth proportional to 216.11, 324.53 and 205.16
Half scale
Find fourth proportional to 864.45, 1,298.13 and 820.62
Double scale
Find fourth proportional to 433.23, 650.57 and 411.31
Similar ratio
Find fourth proportional to 648.34, 973.60 and 615.47
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.