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Finding the Fourth Proportional to 576.34, 863.39 and 446.27

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Solution

The fourth proportional to 576.34, 863.39 and 446.27 is: 668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.34 : 863.39 = 446.27 : x
  2. Step 2: Convert to fraction form
    576.34/863.39 = 446.27/x
  3. Step 3: Cross multiply
    576.34x = 863.39 × 446.27
  4. Step 4: Simplify right side
    576.34x = 385,301.85
  5. Step 5: Solve for x
    x = 385,301.85/576.34
  6. Step 6: Final answer
    x = 668.54

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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.