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Finding the Fourth Proportional to 519.92, 774.34 and 513.68

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Solution

The fourth proportional to 519.92, 774.34 and 513.68 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.92 : 774.34 = 513.68 : x
  2. Step 2: Convert to fraction form
    519.92/774.34 = 513.68/x
  3. Step 3: Cross multiply
    519.92x = 774.34 × 513.68
  4. Step 4: Simplify right side
    519.92x = 397,762.97
  5. Step 5: Solve for x
    x = 397,762.97/519.92
  6. Step 6: Final answer
    x = 765.05

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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.