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Finding the Fourth Proportional to 519.43, 716.84 and 344.65

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Solution

The fourth proportional to 519.43, 716.84 and 344.65 is: 475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.43 : 716.84 = 344.65 : x
  2. Step 2: Convert to fraction form
    519.43/716.84 = 344.65/x
  3. Step 3: Cross multiply
    519.43x = 716.84 × 344.65
  4. Step 4: Simplify right side
    519.43x = 247,056.68
  5. Step 5: Solve for x
    x = 247,056.68/519.43
  6. Step 6: Final answer
    x = 475.63

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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.