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Finding the Fourth Proportional to 1,272.81, 1,909.28 and 451.17

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Solution

The fourth proportional to 1,272.81, 1,909.28 and 451.17 is: 676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.81 : 1,909.28 = 451.17 : x
  2. Step 2: Convert to fraction form
    1,272.81/1,909.28 = 451.17/x
  3. Step 3: Cross multiply
    1,272.81x = 1,909.28 × 451.17
  4. Step 4: Simplify right side
    1,272.81x = 861,410.99
  5. Step 5: Solve for x
    x = 861,410.99/1,272.81
  6. Step 6: Final answer
    x = 676.78

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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.