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Finding the Fourth Proportional to 1,101.28, 1,517.52 and 906.16

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Solution

The fourth proportional to 1,101.28, 1,517.52 and 906.16 is: 1,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.28 : 1,517.52 = 906.16 : x
  2. Step 2: Convert to fraction form
    1,101.28/1,517.52 = 906.16/x
  3. Step 3: Cross multiply
    1,101.28x = 1,517.52 × 906.16
  4. Step 4: Simplify right side
    1,101.28x = 1,375,115.92
  5. Step 5: Solve for x
    x = 1,375,115.92/1,101.28
  6. Step 6: Final answer
    x = 1,248.65

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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.