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Finding the Fourth Proportional to 500.46, 748.22 and 424.27

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Solution

The fourth proportional to 500.46, 748.22 and 424.27 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.46 : 748.22 = 424.27 : x
  2. Step 2: Convert to fraction form
    500.46/748.22 = 424.27/x
  3. Step 3: Cross multiply
    500.46x = 748.22 × 424.27
  4. Step 4: Simplify right side
    500.46x = 317,445.18
  5. Step 5: Solve for x
    x = 317,445.18/500.46
  6. Step 6: Final answer
    x = 634.31

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Double scale
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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.