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Finding the Fourth Proportional to 574.63, 861.95 and 163.77

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Solution

The fourth proportional to 574.63, 861.95 and 163.77 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.63 : 861.95 = 163.77 : x
  2. Step 2: Convert to fraction form
    574.63/861.95 = 163.77/x
  3. Step 3: Cross multiply
    574.63x = 861.95 × 163.77
  4. Step 4: Simplify right side
    574.63x = 141,161.55
  5. Step 5: Solve for x
    x = 141,161.55/574.63
  6. Step 6: Final answer
    x = 245.66

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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.