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Finding the Fourth Proportional to 827.26, 1,240.04 and 394.78

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Solution

The fourth proportional to 827.26, 1,240.04 and 394.78 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.26 : 1,240.04 = 394.78 : x
  2. Step 2: Convert to fraction form
    827.26/1,240.04 = 394.78/x
  3. Step 3: Cross multiply
    827.26x = 1,240.04 × 394.78
  4. Step 4: Simplify right side
    827.26x = 489,542.99
  5. Step 5: Solve for x
    x = 489,542.99/827.26
  6. Step 6: Final answer
    x = 591.76

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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.