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Finding the Fourth Proportional to 721.50, 1,080.72 and 696.24

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Solution

The fourth proportional to 721.50, 1,080.72 and 696.24 is: 1,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.50 : 1,080.72 = 696.24 : x
  2. Step 2: Convert to fraction form
    721.50/1,080.72 = 696.24/x
  3. Step 3: Cross multiply
    721.50x = 1,080.72 × 696.24
  4. Step 4: Simplify right side
    721.50x = 752,440.49
  5. Step 5: Solve for x
    x = 752,440.49/721.50
  6. Step 6: Final answer
    x = 1,042.88

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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.