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Finding the Fourth Proportional to 617.80, 853.29 and 396.94

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Solution

The fourth proportional to 617.80, 853.29 and 396.94 is: 548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.80 : 853.29 = 396.94 : x
  2. Step 2: Convert to fraction form
    617.80/853.29 = 396.94/x
  3. Step 3: Cross multiply
    617.80x = 853.29 × 396.94
  4. Step 4: Simplify right side
    617.80x = 338,704.93
  5. Step 5: Solve for x
    x = 338,704.93/617.80
  6. Step 6: Final answer
    x = 548.24

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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.