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Finding the Fourth Proportional to 494.19, 743.92 and 449.55

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Solution

The fourth proportional to 494.19, 743.92 and 449.55 is: 676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.19 : 743.92 = 449.55 : x
  2. Step 2: Convert to fraction form
    494.19/743.92 = 449.55/x
  3. Step 3: Cross multiply
    494.19x = 743.92 × 449.55
  4. Step 4: Simplify right side
    494.19x = 334,428.11
  5. Step 5: Solve for x
    x = 334,428.11/494.19
  6. Step 6: Final answer
    x = 676.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.