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Finding the Fourth Proportional to 687, 1,027.91 and 481.97

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Solution

The fourth proportional to 687, 1,027.91 and 481.97 is: 721.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687 : 1,027.91 = 481.97 : x
  2. Step 2: Convert to fraction form
    687/1,027.91 = 481.97/x
  3. Step 3: Cross multiply
    687x = 1,027.91 × 481.97
  4. Step 4: Simplify right side
    687x = 495,425.56
  5. Step 5: Solve for x
    x = 495,425.56/687
  6. Step 6: Final answer
    x = 721.14

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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.