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Finding the Fourth Proportional to 726.93, 1,092.45 and 680.25

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Solution

The fourth proportional to 726.93, 1,092.45 and 680.25 is: 1,022.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.93 : 1,092.45 = 680.25 : x
  2. Step 2: Convert to fraction form
    726.93/1,092.45 = 680.25/x
  3. Step 3: Cross multiply
    726.93x = 1,092.45 × 680.25
  4. Step 4: Simplify right side
    726.93x = 743,139.11
  5. Step 5: Solve for x
    x = 743,139.11/726.93
  6. Step 6: Final answer
    x = 1,022.30

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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.