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Finding the Fourth Proportional to 519.75, 778.41 and 411.21

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Solution

The fourth proportional to 519.75, 778.41 and 411.21 is: 615.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 778.41 = 411.21 : x
  2. Step 2: Convert to fraction form
    519.75/778.41 = 411.21/x
  3. Step 3: Cross multiply
    519.75x = 778.41 × 411.21
  4. Step 4: Simplify right side
    519.75x = 320,089.98
  5. Step 5: Solve for x
    x = 320,089.98/519.75
  6. Step 6: Final answer
    x = 615.85

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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.