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Finding the Fourth Proportional to 576.48, 865.15 and 422.81

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Solution

The fourth proportional to 576.48, 865.15 and 422.81 is: 634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.48 : 865.15 = 422.81 : x
  2. Step 2: Convert to fraction form
    576.48/865.15 = 422.81/x
  3. Step 3: Cross multiply
    576.48x = 865.15 × 422.81
  4. Step 4: Simplify right side
    576.48x = 365,788.69
  5. Step 5: Solve for x
    x = 365,788.69/576.48
  6. Step 6: Final answer
    x = 634.52

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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.