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Finding the Fourth Proportional to 447.97, 670.96 and 344.49

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Solution

The fourth proportional to 447.97, 670.96 and 344.49 is: 515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.97 : 670.96 = 344.49 : x
  2. Step 2: Convert to fraction form
    447.97/670.96 = 344.49/x
  3. Step 3: Cross multiply
    447.97x = 670.96 × 344.49
  4. Step 4: Simplify right side
    447.97x = 231,137.29
  5. Step 5: Solve for x
    x = 231,137.29/447.97
  6. Step 6: Final answer
    x = 515.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.