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Finding the Fourth Proportional to 872.05, 1,306.56 and 726.73

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Solution

The fourth proportional to 872.05, 1,306.56 and 726.73 is: 1,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.05 : 1,306.56 = 726.73 : x
  2. Step 2: Convert to fraction form
    872.05/1,306.56 = 726.73/x
  3. Step 3: Cross multiply
    872.05x = 1,306.56 × 726.73
  4. Step 4: Simplify right side
    872.05x = 949,516.35
  5. Step 5: Solve for x
    x = 949,516.35/872.05
  6. Step 6: Final answer
    x = 1,088.83

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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.