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Finding the Fourth Proportional to 734.47, 1,098.96 and 726.27

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Solution

The fourth proportional to 734.47, 1,098.96 and 726.27 is: 1,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.47 : 1,098.96 = 726.27 : x
  2. Step 2: Convert to fraction form
    734.47/1,098.96 = 726.27/x
  3. Step 3: Cross multiply
    734.47x = 1,098.96 × 726.27
  4. Step 4: Simplify right side
    734.47x = 798,141.68
  5. Step 5: Solve for x
    x = 798,141.68/734.47
  6. Step 6: Final answer
    x = 1,086.69

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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.