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Finding the Fourth Proportional to 828.52, 1,240.34 and 519.44

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Solution

The fourth proportional to 828.52, 1,240.34 and 519.44 is: 777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.52 : 1,240.34 = 519.44 : x
  2. Step 2: Convert to fraction form
    828.52/1,240.34 = 519.44/x
  3. Step 3: Cross multiply
    828.52x = 1,240.34 × 519.44
  4. Step 4: Simplify right side
    828.52x = 644,282.21
  5. Step 5: Solve for x
    x = 644,282.21/828.52
  6. Step 6: Final answer
    x = 777.63

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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.