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Finding the Fourth Proportional to 568.73, 852.78 and 178.61

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Solution

The fourth proportional to 568.73, 852.78 and 178.61 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.73 : 852.78 = 178.61 : x
  2. Step 2: Convert to fraction form
    568.73/852.78 = 178.61/x
  3. Step 3: Cross multiply
    568.73x = 852.78 × 178.61
  4. Step 4: Simplify right side
    568.73x = 152,315.04
  5. Step 5: Solve for x
    x = 152,315.04/568.73
  6. Step 6: Final answer
    x = 267.82

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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.