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Finding the Fourth Proportional to 538.18, 747.96 and 532.42

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Solution

The fourth proportional to 538.18, 747.96 and 532.42 is: 739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.18 : 747.96 = 532.42 : x
  2. Step 2: Convert to fraction form
    538.18/747.96 = 532.42/x
  3. Step 3: Cross multiply
    538.18x = 747.96 × 532.42
  4. Step 4: Simplify right side
    538.18x = 398,226.20
  5. Step 5: Solve for x
    x = 398,226.20/538.18
  6. Step 6: Final answer
    x = 739.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.