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Finding the Fourth Proportional to 862.82, 1,294.24 and 451.88

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Solution

The fourth proportional to 862.82, 1,294.24 and 451.88 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.82 : 1,294.24 = 451.88 : x
  2. Step 2: Convert to fraction form
    862.82/1,294.24 = 451.88/x
  3. Step 3: Cross multiply
    862.82x = 1,294.24 × 451.88
  4. Step 4: Simplify right side
    862.82x = 584,841.17
  5. Step 5: Solve for x
    x = 584,841.17/862.82
  6. Step 6: Final answer
    x = 677.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.