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Finding the Fourth Proportional to 500.38, 755.18 and 487.42

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Solution

The fourth proportional to 500.38, 755.18 and 487.42 is: 735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.38 : 755.18 = 487.42 : x
  2. Step 2: Convert to fraction form
    500.38/755.18 = 487.42/x
  3. Step 3: Cross multiply
    500.38x = 755.18 × 487.42
  4. Step 4: Simplify right side
    500.38x = 368,089.84
  5. Step 5: Solve for x
    x = 368,089.84/500.38
  6. Step 6: Final answer
    x = 735.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.