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Finding the Fourth Proportional to 519.31, 716.46 and 298.12

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Solution

The fourth proportional to 519.31, 716.46 and 298.12 is: 411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.31 : 716.46 = 298.12 : x
  2. Step 2: Convert to fraction form
    519.31/716.46 = 298.12/x
  3. Step 3: Cross multiply
    519.31x = 716.46 × 298.12
  4. Step 4: Simplify right side
    519.31x = 213,591.06
  5. Step 5: Solve for x
    x = 213,591.06/519.31
  6. Step 6: Final answer
    x = 411.30

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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.