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Finding the Fourth Proportional to 773.28, 1,073.52 and 749.52

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Solution

The fourth proportional to 773.28, 1,073.52 and 749.52 is: 1,040.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.28 : 1,073.52 = 749.52 : x
  2. Step 2: Convert to fraction form
    773.28/1,073.52 = 749.52/x
  3. Step 3: Cross multiply
    773.28x = 1,073.52 × 749.52
  4. Step 4: Simplify right side
    773.28x = 804,624.71
  5. Step 5: Solve for x
    x = 804,624.71/773.28
  6. Step 6: Final answer
    x = 1,040.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.