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Finding the Fourth Proportional to 1,278.38, 1,914.33 and 729.61

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Solution

The fourth proportional to 1,278.38, 1,914.33 and 729.61 is: 1,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.38 : 1,914.33 = 729.61 : x
  2. Step 2: Convert to fraction form
    1,278.38/1,914.33 = 729.61/x
  3. Step 3: Cross multiply
    1,278.38x = 1,914.33 × 729.61
  4. Step 4: Simplify right side
    1,278.38x = 1,396,712.26
  5. Step 5: Solve for x
    x = 1,396,712.26/1,278.38
  6. Step 6: Final answer
    x = 1,092.56

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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.