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Finding the Fourth Proportional to 1,280.38, 1,917.33 and 731.61

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Solution

The fourth proportional to 1,280.38, 1,917.33 and 731.61 is: 1,095.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.38 : 1,917.33 = 731.61 : x
  2. Step 2: Convert to fraction form
    1,280.38/1,917.33 = 731.61/x
  3. Step 3: Cross multiply
    1,280.38x = 1,917.33 × 731.61
  4. Step 4: Simplify right side
    1,280.38x = 1,402,737.80
  5. Step 5: Solve for x
    x = 1,402,737.80/1,280.38
  6. Step 6: Final answer
    x = 1,095.56

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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.