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Finding the Fourth Proportional to 1,254.85, 1,731.57 and 723.82

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Solution

The fourth proportional to 1,254.85, 1,731.57 and 723.82 is: 998.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.85 : 1,731.57 = 723.82 : x
  2. Step 2: Convert to fraction form
    1,254.85/1,731.57 = 723.82/x
  3. Step 3: Cross multiply
    1,254.85x = 1,731.57 × 723.82
  4. Step 4: Simplify right side
    1,254.85x = 1,253,345.00
  5. Step 5: Solve for x
    x = 1,253,345.00/1,254.85
  6. Step 6: Final answer
    x = 998.80

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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.