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Finding the Fourth Proportional to 519.35, 716.39 and 379.30

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Solution

The fourth proportional to 519.35, 716.39 and 379.30 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.35 : 716.39 = 379.30 : x
  2. Step 2: Convert to fraction form
    519.35/716.39 = 379.30/x
  3. Step 3: Cross multiply
    519.35x = 716.39 × 379.30
  4. Step 4: Simplify right side
    519.35x = 271,724.83
  5. Step 5: Solve for x
    x = 271,724.83/519.35
  6. Step 6: Final answer
    x = 523.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.