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Finding the Fourth Proportional to 568.42, 853.23 and 382.78

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Solution

The fourth proportional to 568.42, 853.23 and 382.78 is: 574.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 853.23 = 382.78 : x
  2. Step 2: Convert to fraction form
    568.42/853.23 = 382.78/x
  3. Step 3: Cross multiply
    568.42x = 853.23 × 382.78
  4. Step 4: Simplify right side
    568.42x = 326,599.38
  5. Step 5: Solve for x
    x = 326,599.38/568.42
  6. Step 6: Final answer
    x = 574.57

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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.