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Finding the Fourth Proportional to 753.97, 1,136.77 and 749.29

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Solution

The fourth proportional to 753.97, 1,136.77 and 749.29 is: 1,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.97 : 1,136.77 = 749.29 : x
  2. Step 2: Convert to fraction form
    753.97/1,136.77 = 749.29/x
  3. Step 3: Cross multiply
    753.97x = 1,136.77 × 749.29
  4. Step 4: Simplify right side
    753.97x = 851,770.39
  5. Step 5: Solve for x
    x = 851,770.39/753.97
  6. Step 6: Final answer
    x = 1,129.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.