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Finding the Fourth Proportional to 519.94, 773.46 and 514.72

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Solution

The fourth proportional to 519.94, 773.46 and 514.72 is: 765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 773.46 = 514.72 : x
  2. Step 2: Convert to fraction form
    519.94/773.46 = 514.72/x
  3. Step 3: Cross multiply
    519.94x = 773.46 × 514.72
  4. Step 4: Simplify right side
    519.94x = 398,115.33
  5. Step 5: Solve for x
    x = 398,115.33/519.94
  6. Step 6: Final answer
    x = 765.69

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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.