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Finding the Fourth Proportional to 1,129.34, 1,691.44 and 781.11

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Solution

The fourth proportional to 1,129.34, 1,691.44 and 781.11 is: 1,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.34 : 1,691.44 = 781.11 : x
  2. Step 2: Convert to fraction form
    1,129.34/1,691.44 = 781.11/x
  3. Step 3: Cross multiply
    1,129.34x = 1,691.44 × 781.11
  4. Step 4: Simplify right side
    1,129.34x = 1,321,198.75
  5. Step 5: Solve for x
    x = 1,321,198.75/1,129.34
  6. Step 6: Final answer
    x = 1,169.88

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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.