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Finding the Fourth Proportional to 519.57, 716.90 and 298.49

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Solution

The fourth proportional to 519.57, 716.90 and 298.49 is: 411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.57 : 716.90 = 298.49 : x
  2. Step 2: Convert to fraction form
    519.57/716.90 = 298.49/x
  3. Step 3: Cross multiply
    519.57x = 716.90 × 298.49
  4. Step 4: Simplify right side
    519.57x = 213,982.40
  5. Step 5: Solve for x
    x = 213,982.40/519.57
  6. Step 6: Final answer
    x = 411.85

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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.