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Finding the Fourth Proportional to 617.41, 853.05 and 421.78

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Solution

The fourth proportional to 617.41, 853.05 and 421.78 is: 582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.41 : 853.05 = 421.78 : x
  2. Step 2: Convert to fraction form
    617.41/853.05 = 421.78/x
  3. Step 3: Cross multiply
    617.41x = 853.05 × 421.78
  4. Step 4: Simplify right side
    617.41x = 359,799.43
  5. Step 5: Solve for x
    x = 359,799.43/617.41
  6. Step 6: Final answer
    x = 582.76

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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.