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Finding the Fourth Proportional to 1,247.56, 1,871.71 and 726.61

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Solution

The fourth proportional to 1,247.56, 1,871.71 and 726.61 is: 1,090.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.56 : 1,871.71 = 726.61 : x
  2. Step 2: Convert to fraction form
    1,247.56/1,871.71 = 726.61/x
  3. Step 3: Cross multiply
    1,247.56x = 1,871.71 × 726.61
  4. Step 4: Simplify right side
    1,247.56x = 1,359,997.58
  5. Step 5: Solve for x
    x = 1,359,997.58/1,247.56
  6. Step 6: Final answer
    x = 1,090.13

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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.