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Finding the Fourth Proportional to 617.88, 853.25 and 397.21

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Solution

The fourth proportional to 617.88, 853.25 and 397.21 is: 548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.88 : 853.25 = 397.21 : x
  2. Step 2: Convert to fraction form
    617.88/853.25 = 397.21/x
  3. Step 3: Cross multiply
    617.88x = 853.25 × 397.21
  4. Step 4: Simplify right side
    617.88x = 338,921.57
  5. Step 5: Solve for x
    x = 338,921.57/617.88
  6. Step 6: Final answer
    x = 548.53

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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.