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Finding the Fourth Proportional to 721.29, 1,074.49 and 676.47

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Solution

The fourth proportional to 721.29, 1,074.49 and 676.47 is: 1,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.29 : 1,074.49 = 676.47 : x
  2. Step 2: Convert to fraction form
    721.29/1,074.49 = 676.47/x
  3. Step 3: Cross multiply
    721.29x = 1,074.49 × 676.47
  4. Step 4: Simplify right side
    721.29x = 726,861.10
  5. Step 5: Solve for x
    x = 726,861.10/721.29
  6. Step 6: Final answer
    x = 1,007.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.