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Finding the Fourth Proportional to 568.78, 853.12 and 260.56

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Solution

The fourth proportional to 568.78, 853.12 and 260.56 is: 390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.78 : 853.12 = 260.56 : x
  2. Step 2: Convert to fraction form
    568.78/853.12 = 260.56/x
  3. Step 3: Cross multiply
    568.78x = 853.12 × 260.56
  4. Step 4: Simplify right side
    568.78x = 222,288.95
  5. Step 5: Solve for x
    x = 222,288.95/568.78
  6. Step 6: Final answer
    x = 390.82

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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.