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Finding the Fourth Proportional to 449.11, 668.92 and 429.12

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Solution

The fourth proportional to 449.11, 668.92 and 429.12 is: 639.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.11 : 668.92 = 429.12 : x
  2. Step 2: Convert to fraction form
    449.11/668.92 = 429.12/x
  3. Step 3: Cross multiply
    449.11x = 668.92 × 429.12
  4. Step 4: Simplify right side
    449.11x = 287,046.95
  5. Step 5: Solve for x
    x = 287,046.95/449.11
  6. Step 6: Final answer
    x = 639.15

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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.