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Finding the Fourth Proportional to 748.11, 1,031.67 and 449.31

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Solution

The fourth proportional to 748.11, 1,031.67 and 449.31 is: 619.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.11 : 1,031.67 = 449.31 : x
  2. Step 2: Convert to fraction form
    748.11/1,031.67 = 449.31/x
  3. Step 3: Cross multiply
    748.11x = 1,031.67 × 449.31
  4. Step 4: Simplify right side
    748.11x = 463,539.65
  5. Step 5: Solve for x
    x = 463,539.65/748.11
  6. Step 6: Final answer
    x = 619.61

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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.