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Finding the Fourth Proportional to 564.38, 846.56 and 179.63

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Solution

The fourth proportional to 564.38, 846.56 and 179.63 is: 269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.38 : 846.56 = 179.63 : x
  2. Step 2: Convert to fraction form
    564.38/846.56 = 179.63/x
  3. Step 3: Cross multiply
    564.38x = 846.56 × 179.63
  4. Step 4: Simplify right side
    564.38x = 152,067.57
  5. Step 5: Solve for x
    x = 152,067.57/564.38
  6. Step 6: Final answer
    x = 269.44

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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.