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Finding the Fourth Proportional to 493.16, 742.33 and 449.42

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Solution

The fourth proportional to 493.16, 742.33 and 449.42 is: 676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.16 : 742.33 = 449.42 : x
  2. Step 2: Convert to fraction form
    493.16/742.33 = 449.42/x
  3. Step 3: Cross multiply
    493.16x = 742.33 × 449.42
  4. Step 4: Simplify right side
    493.16x = 333,614.80
  5. Step 5: Solve for x
    x = 333,614.80/493.16
  6. Step 6: Final answer
    x = 676.49

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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.