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Finding the Fourth Proportional to 1,127.64, 1,691.01 and 424.68

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Solution

The fourth proportional to 1,127.64, 1,691.01 and 424.68 is: 636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.64 : 1,691.01 = 424.68 : x
  2. Step 2: Convert to fraction form
    1,127.64/1,691.01 = 424.68/x
  3. Step 3: Cross multiply
    1,127.64x = 1,691.01 × 424.68
  4. Step 4: Simplify right side
    1,127.64x = 718,138.13
  5. Step 5: Solve for x
    x = 718,138.13/1,127.64
  6. Step 6: Final answer
    x = 636.85

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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.