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Finding the Fourth Proportional to 1,213.54, 1,818.78 and 519.39

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Solution

The fourth proportional to 1,213.54, 1,818.78 and 519.39 is: 778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.54 : 1,818.78 = 519.39 : x
  2. Step 2: Convert to fraction form
    1,213.54/1,818.78 = 519.39/x
  3. Step 3: Cross multiply
    1,213.54x = 1,818.78 × 519.39
  4. Step 4: Simplify right side
    1,213.54x = 944,652.73
  5. Step 5: Solve for x
    x = 944,652.73/1,213.54
  6. Step 6: Final answer
    x = 778.43

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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.