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Finding the Fourth Proportional to 769.09, 1,053.38 and 724.20

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Solution

The fourth proportional to 769.09, 1,053.38 and 724.20 is: 991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.09 : 1,053.38 = 724.20 : x
  2. Step 2: Convert to fraction form
    769.09/1,053.38 = 724.20/x
  3. Step 3: Cross multiply
    769.09x = 1,053.38 × 724.20
  4. Step 4: Simplify right side
    769.09x = 762,857.80
  5. Step 5: Solve for x
    x = 762,857.80/769.09
  6. Step 6: Final answer
    x = 991.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.