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Finding the Fourth Proportional to 827.30, 1,240.25 and 388.34

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Solution

The fourth proportional to 827.30, 1,240.25 and 388.34 is: 582.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.30 : 1,240.25 = 388.34 : x
  2. Step 2: Convert to fraction form
    827.30/1,240.25 = 388.34/x
  3. Step 3: Cross multiply
    827.30x = 1,240.25 × 388.34
  4. Step 4: Simplify right side
    827.30x = 481,630.54
  5. Step 5: Solve for x
    x = 481,630.54/827.30
  6. Step 6: Final answer
    x = 582.18

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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.