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Finding the Fourth Proportional to 996.38, 1,491.45 and 686.42

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Solution

The fourth proportional to 996.38, 1,491.45 and 686.42 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.38 : 1,491.45 = 686.42 : x
  2. Step 2: Convert to fraction form
    996.38/1,491.45 = 686.42/x
  3. Step 3: Cross multiply
    996.38x = 1,491.45 × 686.42
  4. Step 4: Simplify right side
    996.38x = 1,023,761.11
  5. Step 5: Solve for x
    x = 1,023,761.11/996.38
  6. Step 6: Final answer
    x = 1,027.48

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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.