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Finding the Fourth Proportional to 1,272.47, 1,909.31 and 451.13

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Solution

The fourth proportional to 1,272.47, 1,909.31 and 451.13 is: 676.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.47 : 1,909.31 = 451.13 : x
  2. Step 2: Convert to fraction form
    1,272.47/1,909.31 = 451.13/x
  3. Step 3: Cross multiply
    1,272.47x = 1,909.31 × 451.13
  4. Step 4: Simplify right side
    1,272.47x = 861,335.22
  5. Step 5: Solve for x
    x = 861,335.22/1,272.47
  6. Step 6: Final answer
    x = 676.90

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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.