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Finding the Fourth Proportional to 728.29, 1,084.98 and 693.46

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Solution

The fourth proportional to 728.29, 1,084.98 and 693.46 is: 1,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.29 : 1,084.98 = 693.46 : x
  2. Step 2: Convert to fraction form
    728.29/1,084.98 = 693.46/x
  3. Step 3: Cross multiply
    728.29x = 1,084.98 × 693.46
  4. Step 4: Simplify right side
    728.29x = 752,390.23
  5. Step 5: Solve for x
    x = 752,390.23/728.29
  6. Step 6: Final answer
    x = 1,033.09

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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.