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Finding the Fourth Proportional to 568.20, 853.11 and 422.40

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Solution

The fourth proportional to 568.20, 853.11 and 422.40 is: 634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.20 : 853.11 = 422.40 : x
  2. Step 2: Convert to fraction form
    568.20/853.11 = 422.40/x
  3. Step 3: Cross multiply
    568.20x = 853.11 × 422.40
  4. Step 4: Simplify right side
    568.20x = 360,353.66
  5. Step 5: Solve for x
    x = 360,353.66/568.20
  6. Step 6: Final answer
    x = 634.20

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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.