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Finding the Fourth Proportional to 568.87, 853.69 and 260.72

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Solution

The fourth proportional to 568.87, 853.69 and 260.72 is: 391.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.87 : 853.69 = 260.72 : x
  2. Step 2: Convert to fraction form
    568.87/853.69 = 260.72/x
  3. Step 3: Cross multiply
    568.87x = 853.69 × 260.72
  4. Step 4: Simplify right side
    568.87x = 222,572.83
  5. Step 5: Solve for x
    x = 222,572.83/568.87
  6. Step 6: Final answer
    x = 391.25

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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.