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Finding the Fourth Proportional to 519.14, 774.06 and 512.74

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Solution

The fourth proportional to 519.14, 774.06 and 512.74 is: 764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.14 : 774.06 = 512.74 : x
  2. Step 2: Convert to fraction form
    519.14/774.06 = 512.74/x
  3. Step 3: Cross multiply
    519.14x = 774.06 × 512.74
  4. Step 4: Simplify right side
    519.14x = 396,891.52
  5. Step 5: Solve for x
    x = 396,891.52/519.14
  6. Step 6: Final answer
    x = 764.52

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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.