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Finding the Fourth Proportional to 721.62, 1,080.42 and 656.68

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Solution

The fourth proportional to 721.62, 1,080.42 and 656.68 is: 983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.62 : 1,080.42 = 656.68 : x
  2. Step 2: Convert to fraction form
    721.62/1,080.42 = 656.68/x
  3. Step 3: Cross multiply
    721.62x = 1,080.42 × 656.68
  4. Step 4: Simplify right side
    721.62x = 709,490.21
  5. Step 5: Solve for x
    x = 709,490.21/721.62
  6. Step 6: Final answer
    x = 983.19

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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.