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Finding the Fourth Proportional to 827.49, 1,240.28 and 461.54

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Solution

The fourth proportional to 827.49, 1,240.28 and 461.54 is: 691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.49 : 1,240.28 = 461.54 : x
  2. Step 2: Convert to fraction form
    827.49/1,240.28 = 461.54/x
  3. Step 3: Cross multiply
    827.49x = 1,240.28 × 461.54
  4. Step 4: Simplify right side
    827.49x = 572,436.52
  5. Step 5: Solve for x
    x = 572,436.52/827.49
  6. Step 6: Final answer
    x = 691.78

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1.5x scale

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.