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Finding the Fourth Proportional to 542.92, 748.80 and 459.88

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Solution

The fourth proportional to 542.92, 748.80 and 459.88 is: 634.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 748.80 = 459.88 : x
  2. Step 2: Convert to fraction form
    542.92/748.80 = 459.88/x
  3. Step 3: Cross multiply
    542.92x = 748.80 × 459.88
  4. Step 4: Simplify right side
    542.92x = 344,358.14
  5. Step 5: Solve for x
    x = 344,358.14/542.92
  6. Step 6: Final answer
    x = 634.27

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Similar ratio
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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.