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Finding the Fourth Proportional to 728.24, 1,097.78 and 686.48

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Solution

The fourth proportional to 728.24, 1,097.78 and 686.48 is: 1,034.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.24 : 1,097.78 = 686.48 : x
  2. Step 2: Convert to fraction form
    728.24/1,097.78 = 686.48/x
  3. Step 3: Cross multiply
    728.24x = 1,097.78 × 686.48
  4. Step 4: Simplify right side
    728.24x = 753,604.01
  5. Step 5: Solve for x
    x = 753,604.01/728.24
  6. Step 6: Final answer
    x = 1,034.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.