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Finding the Fourth Proportional to 827, 1,241.09 and 394.19

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Solution

The fourth proportional to 827, 1,241.09 and 394.19 is: 591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    827 : 1,241.09 = 394.19 : x
  2. Step 2: Convert to fraction form
    827/1,241.09 = 394.19/x
  3. Step 3: Cross multiply
    827x = 1,241.09 × 394.19
  4. Step 4: Simplify right side
    827x = 489,223.30
  5. Step 5: Solve for x
    x = 489,223.30/827
  6. Step 6: Final answer
    x = 591.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.