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Finding the Fourth Proportional to 568.71, 852.83 and 178.62

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Solution

The fourth proportional to 568.71, 852.83 and 178.62 is: 267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.71 : 852.83 = 178.62 : x
  2. Step 2: Convert to fraction form
    568.71/852.83 = 178.62/x
  3. Step 3: Cross multiply
    568.71x = 852.83 × 178.62
  4. Step 4: Simplify right side
    568.71x = 152,332.27
  5. Step 5: Solve for x
    x = 152,332.27/568.71
  6. Step 6: Final answer
    x = 267.85

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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.