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Finding the Fourth Proportional to 630.21, 943.78 and 519.85

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Solution

The fourth proportional to 630.21, 943.78 and 519.85 is: 778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.21 : 943.78 = 519.85 : x
  2. Step 2: Convert to fraction form
    630.21/943.78 = 519.85/x
  3. Step 3: Cross multiply
    630.21x = 943.78 × 519.85
  4. Step 4: Simplify right side
    630.21x = 490,623.43
  5. Step 5: Solve for x
    x = 490,623.43/630.21
  6. Step 6: Final answer
    x = 778.50

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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.