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Finding the Fourth Proportional to 573.98, 861 and 163.16

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Solution

The fourth proportional to 573.98, 861 and 163.16 is: 244.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.98 : 861 = 163.16 : x
  2. Step 2: Convert to fraction form
    573.98/861 = 163.16/x
  3. Step 3: Cross multiply
    573.98x = 861 × 163.16
  4. Step 4: Simplify right side
    573.98x = 140,480.76
  5. Step 5: Solve for x
    x = 140,480.76/573.98
  6. Step 6: Final answer
    x = 244.75

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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.