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Finding the Fourth Proportional to 498.15, 742.23 and 449.28

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Solution

The fourth proportional to 498.15, 742.23 and 449.28 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.15 : 742.23 = 449.28 : x
  2. Step 2: Convert to fraction form
    498.15/742.23 = 449.28/x
  3. Step 3: Cross multiply
    498.15x = 742.23 × 449.28
  4. Step 4: Simplify right side
    498.15x = 333,469.09
  5. Step 5: Solve for x
    x = 333,469.09/498.15
  6. Step 6: Final answer
    x = 669.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.