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Finding the Fourth Proportional to 447.97, 617.99 and 323.43

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Solution

The fourth proportional to 447.97, 617.99 and 323.43 is: 446.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.97 : 617.99 = 323.43 : x
  2. Step 2: Convert to fraction form
    447.97/617.99 = 323.43/x
  3. Step 3: Cross multiply
    447.97x = 617.99 × 323.43
  4. Step 4: Simplify right side
    447.97x = 199,876.51
  5. Step 5: Solve for x
    x = 199,876.51/447.97
  6. Step 6: Final answer
    x = 446.18

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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.