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Finding the Fourth Proportional to 568.86, 853.49 and 198.72

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Solution

The fourth proportional to 568.86, 853.49 and 198.72 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.86 : 853.49 = 198.72 : x
  2. Step 2: Convert to fraction form
    568.86/853.49 = 198.72/x
  3. Step 3: Cross multiply
    568.86x = 853.49 × 198.72
  4. Step 4: Simplify right side
    568.86x = 169,603.55
  5. Step 5: Solve for x
    x = 169,603.55/568.86
  6. Step 6: Final answer
    x = 298.15

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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.