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Finding the Fourth Proportional to 629.86, 943.24 and 519.49

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Solution

The fourth proportional to 629.86, 943.24 and 519.49 is: 777.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.86 : 943.24 = 519.49 : x
  2. Step 2: Convert to fraction form
    629.86/943.24 = 519.49/x
  3. Step 3: Cross multiply
    629.86x = 943.24 × 519.49
  4. Step 4: Simplify right side
    629.86x = 490,003.75
  5. Step 5: Solve for x
    x = 490,003.75/629.86
  6. Step 6: Final answer
    x = 777.96

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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.