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Finding the Fourth Proportional to 447.97, 616.84 and 397.45

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Solution

The fourth proportional to 447.97, 616.84 and 397.45 is: 547.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.97 : 616.84 = 397.45 : x
  2. Step 2: Convert to fraction form
    447.97/616.84 = 397.45/x
  3. Step 3: Cross multiply
    447.97x = 616.84 × 397.45
  4. Step 4: Simplify right side
    447.97x = 245,163.06
  5. Step 5: Solve for x
    x = 245,163.06/447.97
  6. Step 6: Final answer
    x = 547.28

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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.