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Finding the Fourth Proportional to 538.68, 748.65 and 532.92

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Solution

The fourth proportional to 538.68, 748.65 and 532.92 is: 740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.68 : 748.65 = 532.92 : x
  2. Step 2: Convert to fraction form
    538.68/748.65 = 532.92/x
  3. Step 3: Cross multiply
    538.68x = 748.65 × 532.92
  4. Step 4: Simplify right side
    538.68x = 398,970.56
  5. Step 5: Solve for x
    x = 398,970.56/538.68
  6. Step 6: Final answer
    x = 740.64

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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.