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Finding the Fourth Proportional to 519.75, 782.71 and 452.09

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Solution

The fourth proportional to 519.75, 782.71 and 452.09 is: 680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.75 : 782.71 = 452.09 : x
  2. Step 2: Convert to fraction form
    519.75/782.71 = 452.09/x
  3. Step 3: Cross multiply
    519.75x = 782.71 × 452.09
  4. Step 4: Simplify right side
    519.75x = 353,856.97
  5. Step 5: Solve for x
    x = 353,856.97/519.75
  6. Step 6: Final answer
    x = 680.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.