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Finding the Fourth Proportional to 604.48, 834.96 and 449.92

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Solution

The fourth proportional to 604.48, 834.96 and 449.92 is: 621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.48 : 834.96 = 449.92 : x
  2. Step 2: Convert to fraction form
    604.48/834.96 = 449.92/x
  3. Step 3: Cross multiply
    604.48x = 834.96 × 449.92
  4. Step 4: Simplify right side
    604.48x = 375,665.20
  5. Step 5: Solve for x
    x = 375,665.20/604.48
  6. Step 6: Final answer
    x = 621.47

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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.