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Finding the Fourth Proportional to 576.27, 863.87 and 191.25

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Solution

The fourth proportional to 576.27, 863.87 and 191.25 is: 286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.27 : 863.87 = 191.25 : x
  2. Step 2: Convert to fraction form
    576.27/863.87 = 191.25/x
  3. Step 3: Cross multiply
    576.27x = 863.87 × 191.25
  4. Step 4: Simplify right side
    576.27x = 165,214.18
  5. Step 5: Solve for x
    x = 165,214.18/576.27
  6. Step 6: Final answer
    x = 286.70

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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.