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Finding the Fourth Proportional to 1,255.90, 1,732.87 and 731.86

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Solution

The fourth proportional to 1,255.90, 1,732.87 and 731.86 is: 1,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.90 : 1,732.87 = 731.86 : x
  2. Step 2: Convert to fraction form
    1,255.90/1,732.87 = 731.86/x
  3. Step 3: Cross multiply
    1,255.90x = 1,732.87 × 731.86
  4. Step 4: Simplify right side
    1,255.90x = 1,268,218.24
  5. Step 5: Solve for x
    x = 1,268,218.24/1,255.90
  6. Step 6: Final answer
    x = 1,009.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.