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Finding the Fourth Proportional to 574.44, 861.90 and 257.66

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Solution

The fourth proportional to 574.44, 861.90 and 257.66 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.44 : 861.90 = 257.66 : x
  2. Step 2: Convert to fraction form
    574.44/861.90 = 257.66/x
  3. Step 3: Cross multiply
    574.44x = 861.90 × 257.66
  4. Step 4: Simplify right side
    574.44x = 222,077.15
  5. Step 5: Solve for x
    x = 222,077.15/574.44
  6. Step 6: Final answer
    x = 386.60

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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.