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Finding the Fourth Proportional to 749.85, 1,034.52 and 484.11

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Solution

The fourth proportional to 749.85, 1,034.52 and 484.11 is: 667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.85 : 1,034.52 = 484.11 : x
  2. Step 2: Convert to fraction form
    749.85/1,034.52 = 484.11/x
  3. Step 3: Cross multiply
    749.85x = 1,034.52 × 484.11
  4. Step 4: Simplify right side
    749.85x = 500,821.48
  5. Step 5: Solve for x
    x = 500,821.48/749.85
  6. Step 6: Final answer
    x = 667.90

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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.