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Finding the Fourth Proportional to 568.77, 851.95 and 260.88

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Solution

The fourth proportional to 568.77, 851.95 and 260.88 is: 390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.77 : 851.95 = 260.88 : x
  2. Step 2: Convert to fraction form
    568.77/851.95 = 260.88/x
  3. Step 3: Cross multiply
    568.77x = 851.95 × 260.88
  4. Step 4: Simplify right side
    568.77x = 222,251.15
  5. Step 5: Solve for x
    x = 222,251.15/568.77
  6. Step 6: Final answer
    x = 390.76

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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.