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Finding the Fourth Proportional to 663.80, 996.78 and 519.08

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Solution

The fourth proportional to 663.80, 996.78 and 519.08 is: 779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.80 : 996.78 = 519.08 : x
  2. Step 2: Convert to fraction form
    663.80/996.78 = 519.08/x
  3. Step 3: Cross multiply
    663.80x = 996.78 × 519.08
  4. Step 4: Simplify right side
    663.80x = 517,408.56
  5. Step 5: Solve for x
    x = 517,408.56/663.80
  6. Step 6: Final answer
    x = 779.46

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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.