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Finding the Fourth Proportional to 842.89, 1,162.78 and 726.25

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Solution

The fourth proportional to 842.89, 1,162.78 and 726.25 is: 1,001.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.89 : 1,162.78 = 726.25 : x
  2. Step 2: Convert to fraction form
    842.89/1,162.78 = 726.25/x
  3. Step 3: Cross multiply
    842.89x = 1,162.78 × 726.25
  4. Step 4: Simplify right side
    842.89x = 844,468.98
  5. Step 5: Solve for x
    x = 844,468.98/842.89
  6. Step 6: Final answer
    x = 1,001.87

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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.