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Finding the Fourth Proportional to 1,073.62, 1,481.78 and 654.14

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Solution

The fourth proportional to 1,073.62, 1,481.78 and 654.14 is: 902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.62 : 1,481.78 = 654.14 : x
  2. Step 2: Convert to fraction form
    1,073.62/1,481.78 = 654.14/x
  3. Step 3: Cross multiply
    1,073.62x = 1,481.78 × 654.14
  4. Step 4: Simplify right side
    1,073.62x = 969,286.73
  5. Step 5: Solve for x
    x = 969,286.73/1,073.62
  6. Step 6: Final answer
    x = 902.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.