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Finding the Fourth Proportional to 462.26, 635.32 and 449.30

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Solution

The fourth proportional to 462.26, 635.32 and 449.30 is: 617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 635.32 = 449.30 : x
  2. Step 2: Convert to fraction form
    462.26/635.32 = 449.30/x
  3. Step 3: Cross multiply
    462.26x = 635.32 × 449.30
  4. Step 4: Simplify right side
    462.26x = 285,449.28
  5. Step 5: Solve for x
    x = 285,449.28/462.26
  6. Step 6: Final answer
    x = 617.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.