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Finding the Fourth Proportional to 721.98, 1,080.81 and 477.90

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Solution

The fourth proportional to 721.98, 1,080.81 and 477.90 is: 715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.98 : 1,080.81 = 477.90 : x
  2. Step 2: Convert to fraction form
    721.98/1,080.81 = 477.90/x
  3. Step 3: Cross multiply
    721.98x = 1,080.81 × 477.90
  4. Step 4: Simplify right side
    721.98x = 516,519.10
  5. Step 5: Solve for x
    x = 516,519.10/721.98
  6. Step 6: Final answer
    x = 715.42

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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.