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Finding the Fourth Proportional to 576.79, 865.33 and 165.96

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Solution

The fourth proportional to 576.79, 865.33 and 165.96 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.79 : 865.33 = 165.96 : x
  2. Step 2: Convert to fraction form
    576.79/865.33 = 165.96/x
  3. Step 3: Cross multiply
    576.79x = 865.33 × 165.96
  4. Step 4: Simplify right side
    576.79x = 143,610.17
  5. Step 5: Solve for x
    x = 143,610.17/576.79
  6. Step 6: Final answer
    x = 248.98

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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.