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Finding the Fourth Proportional to 676.52, 1,014.78 and 163.52

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Solution

The fourth proportional to 676.52, 1,014.78 and 163.52 is: 245.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.52 : 1,014.78 = 163.52 : x
  2. Step 2: Convert to fraction form
    676.52/1,014.78 = 163.52/x
  3. Step 3: Cross multiply
    676.52x = 1,014.78 × 163.52
  4. Step 4: Simplify right side
    676.52x = 165,936.83
  5. Step 5: Solve for x
    x = 165,936.83/676.52
  6. Step 6: Final answer
    x = 245.28

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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.