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Finding the Fourth Proportional to 568.86, 853.92 and 396.27

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Solution

The fourth proportional to 568.86, 853.92 and 396.27 is: 594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.86 : 853.92 = 396.27 : x
  2. Step 2: Convert to fraction form
    568.86/853.92 = 396.27/x
  3. Step 3: Cross multiply
    568.86x = 853.92 × 396.27
  4. Step 4: Simplify right side
    568.86x = 338,382.88
  5. Step 5: Solve for x
    x = 338,382.88/568.86
  6. Step 6: Final answer
    x = 594.84

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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.