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Finding the Fourth Proportional to 500.41, 749.79 and 458.43

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Solution

The fourth proportional to 500.41, 749.79 and 458.43 is: 686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.41 : 749.79 = 458.43 : x
  2. Step 2: Convert to fraction form
    500.41/749.79 = 458.43/x
  3. Step 3: Cross multiply
    500.41x = 749.79 × 458.43
  4. Step 4: Simplify right side
    500.41x = 343,723.42
  5. Step 5: Solve for x
    x = 343,723.42/500.41
  6. Step 6: Final answer
    x = 686.88

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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.