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Finding the Fourth Proportional to 462.29, 642.09 and 449.33

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Solution

The fourth proportional to 462.29, 642.09 and 449.33 is: 624.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.29 : 642.09 = 449.33 : x
  2. Step 2: Convert to fraction form
    462.29/642.09 = 449.33/x
  3. Step 3: Cross multiply
    462.29x = 642.09 × 449.33
  4. Step 4: Simplify right side
    462.29x = 288,507.09
  5. Step 5: Solve for x
    x = 288,507.09/462.29
  6. Step 6: Final answer
    x = 624.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.