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Finding the Fourth Proportional to 568.49, 853.72 and 338.83

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Solution

The fourth proportional to 568.49, 853.72 and 338.83 is: 508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.49 : 853.72 = 338.83 : x
  2. Step 2: Convert to fraction form
    568.49/853.72 = 338.83/x
  3. Step 3: Cross multiply
    568.49x = 853.72 × 338.83
  4. Step 4: Simplify right side
    568.49x = 289,262.97
  5. Step 5: Solve for x
    x = 289,262.97/568.49
  6. Step 6: Final answer
    x = 508.83

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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.