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Finding the Fourth Proportional to 891.60, 1,337.87 and 458.76

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Solution

The fourth proportional to 891.60, 1,337.87 and 458.76 is: 688.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.60 : 1,337.87 = 458.76 : x
  2. Step 2: Convert to fraction form
    891.60/1,337.87 = 458.76/x
  3. Step 3: Cross multiply
    891.60x = 1,337.87 × 458.76
  4. Step 4: Simplify right side
    891.60x = 613,761.24
  5. Step 5: Solve for x
    x = 613,761.24/891.60
  6. Step 6: Final answer
    x = 688.38

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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.