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Finding the Fourth Proportional to 576.82, 865.37 and 284.41

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Solution

The fourth proportional to 576.82, 865.37 and 284.41 is: 426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.82 : 865.37 = 284.41 : x
  2. Step 2: Convert to fraction form
    576.82/865.37 = 284.41/x
  3. Step 3: Cross multiply
    576.82x = 865.37 × 284.41
  4. Step 4: Simplify right side
    576.82x = 246,119.88
  5. Step 5: Solve for x
    x = 246,119.88/576.82
  6. Step 6: Final answer
    x = 426.68

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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.