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Finding the Fourth Proportional to 721.87, 1,080.82 and 374.47

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Solution

The fourth proportional to 721.87, 1,080.82 and 374.47 is: 560.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.87 : 1,080.82 = 374.47 : x
  2. Step 2: Convert to fraction form
    721.87/1,080.82 = 374.47/x
  3. Step 3: Cross multiply
    721.87x = 1,080.82 × 374.47
  4. Step 4: Simplify right side
    721.87x = 404,734.67
  5. Step 5: Solve for x
    x = 404,734.67/721.87
  6. Step 6: Final answer
    x = 560.68

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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.