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Finding the Fourth Proportional to 519.63, 778.62 and 326.85

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Solution

The fourth proportional to 519.63, 778.62 and 326.85 is: 489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.63 : 778.62 = 326.85 : x
  2. Step 2: Convert to fraction form
    519.63/778.62 = 326.85/x
  3. Step 3: Cross multiply
    519.63x = 778.62 × 326.85
  4. Step 4: Simplify right side
    519.63x = 254,488.05
  5. Step 5: Solve for x
    x = 254,488.05/519.63
  6. Step 6: Final answer
    x = 489.75

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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.