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Finding the Fourth Proportional to 728.97, 1,088.96 and 655.73

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Solution

The fourth proportional to 728.97, 1,088.96 and 655.73 is: 979.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.97 : 1,088.96 = 655.73 : x
  2. Step 2: Convert to fraction form
    728.97/1,088.96 = 655.73/x
  3. Step 3: Cross multiply
    728.97x = 1,088.96 × 655.73
  4. Step 4: Simplify right side
    728.97x = 714,063.74
  5. Step 5: Solve for x
    x = 714,063.74/728.97
  6. Step 6: Final answer
    x = 979.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.