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Finding the Fourth Proportional to 574.19, 861.03 and 163.23

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Solution

The fourth proportional to 574.19, 861.03 and 163.23 is: 244.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.19 : 861.03 = 163.23 : x
  2. Step 2: Convert to fraction form
    574.19/861.03 = 163.23/x
  3. Step 3: Cross multiply
    574.19x = 861.03 × 163.23
  4. Step 4: Simplify right side
    574.19x = 140,546.63
  5. Step 5: Solve for x
    x = 140,546.63/574.19
  6. Step 6: Final answer
    x = 244.77

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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.