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Finding the Fourth Proportional to 519.92, 774.60 and 514.80

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Solution

The fourth proportional to 519.92, 774.60 and 514.80 is: 766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.92 : 774.60 = 514.80 : x
  2. Step 2: Convert to fraction form
    519.92/774.60 = 514.80/x
  3. Step 3: Cross multiply
    519.92x = 774.60 × 514.80
  4. Step 4: Simplify right side
    519.92x = 398,764.08
  5. Step 5: Solve for x
    x = 398,764.08/519.92
  6. Step 6: Final answer
    x = 766.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.