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Finding the Fourth Proportional to 568.60, 851.31 and 362.66

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Solution

The fourth proportional to 568.60, 851.31 and 362.66 is: 542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.60 : 851.31 = 362.66 : x
  2. Step 2: Convert to fraction form
    568.60/851.31 = 362.66/x
  3. Step 3: Cross multiply
    568.60x = 851.31 × 362.66
  4. Step 4: Simplify right side
    568.60x = 308,736.62
  5. Step 5: Solve for x
    x = 308,736.62/568.60
  6. Step 6: Final answer
    x = 542.97

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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.