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Finding the Fourth Proportional to 542.42, 748.56 and 424.52

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Solution

The fourth proportional to 542.42, 748.56 and 424.52 is: 585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 748.56 = 424.52 : x
  2. Step 2: Convert to fraction form
    542.42/748.56 = 424.52/x
  3. Step 3: Cross multiply
    542.42x = 748.56 × 424.52
  4. Step 4: Simplify right side
    542.42x = 317,778.69
  5. Step 5: Solve for x
    x = 317,778.69/542.42
  6. Step 6: Final answer
    x = 585.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.