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Finding the Fourth Proportional to 575.56, 861.90 and 392.44

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Solution

The fourth proportional to 575.56, 861.90 and 392.44 is: 587.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.56 : 861.90 = 392.44 : x
  2. Step 2: Convert to fraction form
    575.56/861.90 = 392.44/x
  3. Step 3: Cross multiply
    575.56x = 861.90 × 392.44
  4. Step 4: Simplify right side
    575.56x = 338,244.04
  5. Step 5: Solve for x
    x = 338,244.04/575.56
  6. Step 6: Final answer
    x = 587.68

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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.