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Finding the Fourth Proportional to 519.81, 778.49 and 411.67

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Solution

The fourth proportional to 519.81, 778.49 and 411.67 is: 616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.81 : 778.49 = 411.67 : x
  2. Step 2: Convert to fraction form
    519.81/778.49 = 411.67/x
  3. Step 3: Cross multiply
    519.81x = 778.49 × 411.67
  4. Step 4: Simplify right side
    519.81x = 320,480.98
  5. Step 5: Solve for x
    x = 320,480.98/519.81
  6. Step 6: Final answer
    x = 616.53

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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.