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Finding the Fourth Proportional to 749.57, 1,034.87 and 552.74

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Solution

The fourth proportional to 749.57, 1,034.87 and 552.74 is: 763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.57 : 1,034.87 = 552.74 : x
  2. Step 2: Convert to fraction form
    749.57/1,034.87 = 552.74/x
  3. Step 3: Cross multiply
    749.57x = 1,034.87 × 552.74
  4. Step 4: Simplify right side
    749.57x = 572,006.11
  5. Step 5: Solve for x
    x = 572,006.11/749.57
  6. Step 6: Final answer
    x = 763.12

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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.