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Finding the Fourth Proportional to 827.44, 1,240.32 and 519.51

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Solution

The fourth proportional to 827.44, 1,240.32 and 519.51 is: 778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.44 : 1,240.32 = 519.51 : x
  2. Step 2: Convert to fraction form
    827.44/1,240.32 = 519.51/x
  3. Step 3: Cross multiply
    827.44x = 1,240.32 × 519.51
  4. Step 4: Simplify right side
    827.44x = 644,358.64
  5. Step 5: Solve for x
    x = 644,358.64/827.44
  6. Step 6: Final answer
    x = 778.74

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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.