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Finding the Fourth Proportional to 496.02, 742.79 and 449.21

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Solution

The fourth proportional to 496.02, 742.79 and 449.21 is: 672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.02 : 742.79 = 449.21 : x
  2. Step 2: Convert to fraction form
    496.02/742.79 = 449.21/x
  3. Step 3: Cross multiply
    496.02x = 742.79 × 449.21
  4. Step 4: Simplify right side
    496.02x = 333,669.15
  5. Step 5: Solve for x
    x = 333,669.15/496.02
  6. Step 6: Final answer
    x = 672.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.