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Finding the Fourth Proportional to 576.67, 863.38 and 439.15

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Solution

The fourth proportional to 576.67, 863.38 and 439.15 is: 657.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.67 : 863.38 = 439.15 : x
  2. Step 2: Convert to fraction form
    576.67/863.38 = 439.15/x
  3. Step 3: Cross multiply
    576.67x = 863.38 × 439.15
  4. Step 4: Simplify right side
    576.67x = 379,153.33
  5. Step 5: Solve for x
    x = 379,153.33/576.67
  6. Step 6: Final answer
    x = 657.49

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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.