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Finding the Fourth Proportional to 749.46, 1,034.91 and 724.98

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Solution

The fourth proportional to 749.46, 1,034.91 and 724.98 is: 1,001.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.46 : 1,034.91 = 724.98 : x
  2. Step 2: Convert to fraction form
    749.46/1,034.91 = 724.98/x
  3. Step 3: Cross multiply
    749.46x = 1,034.91 × 724.98
  4. Step 4: Simplify right side
    749.46x = 750,289.05
  5. Step 5: Solve for x
    x = 750,289.05/749.46
  6. Step 6: Final answer
    x = 1,001.11

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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.