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Finding the Fourth Proportional to 500.32, 748.74 and 493

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Solution

The fourth proportional to 500.32, 748.74 and 493 is: 737.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.32 : 748.74 = 493 : x
  2. Step 2: Convert to fraction form
    500.32/748.74 = 493/x
  3. Step 3: Cross multiply
    500.32x = 748.74 × 493
  4. Step 4: Simplify right side
    500.32x = 369,128.82
  5. Step 5: Solve for x
    x = 369,128.82/500.32
  6. Step 6: Final answer
    x = 737.79

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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.