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Finding the Fourth Proportional to 576.29, 863.83 and 267.89

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Solution

The fourth proportional to 576.29, 863.83 and 267.89 is: 401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.29 : 863.83 = 267.89 : x
  2. Step 2: Convert to fraction form
    576.29/863.83 = 267.89/x
  3. Step 3: Cross multiply
    576.29x = 863.83 × 267.89
  4. Step 4: Simplify right side
    576.29x = 231,409.93
  5. Step 5: Solve for x
    x = 231,409.93/576.29
  6. Step 6: Final answer
    x = 401.55

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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.