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Finding the Fourth Proportional to 1,254.20, 1,731.19 and 723.44

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Solution

The fourth proportional to 1,254.20, 1,731.19 and 723.44 is: 998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.20 : 1,731.19 = 723.44 : x
  2. Step 2: Convert to fraction form
    1,254.20/1,731.19 = 723.44/x
  3. Step 3: Cross multiply
    1,254.20x = 1,731.19 × 723.44
  4. Step 4: Simplify right side
    1,254.20x = 1,252,414.61
  5. Step 5: Solve for x
    x = 1,252,414.61/1,254.20
  6. Step 6: Final answer
    x = 998.57

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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.