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Finding the Fourth Proportional to 519.57, 772.74 and 514.11

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Solution

The fourth proportional to 519.57, 772.74 and 514.11 is: 764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 772.74 = 514.11 : x
  2. Step 2: Convert to fraction form
    519.57/772.74 = 514.11/x
  3. Step 3: Cross multiply
    519.57x = 772.74 × 514.11
  4. Step 4: Simplify right side
    519.57x = 397,273.36
  5. Step 5: Solve for x
    x = 397,273.36/519.57
  6. Step 6: Final answer
    x = 764.62

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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.