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Finding the Fourth Proportional to 568.83, 853.25 and 157.97

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Solution

The fourth proportional to 568.83, 853.25 and 157.97 is: 236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.83 : 853.25 = 157.97 : x
  2. Step 2: Convert to fraction form
    568.83/853.25 = 157.97/x
  3. Step 3: Cross multiply
    568.83x = 853.25 × 157.97
  4. Step 4: Simplify right side
    568.83x = 134,790.04
  5. Step 5: Solve for x
    x = 134,790.04/568.83
  6. Step 6: Final answer
    x = 236.96

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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.