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Finding the Fourth Proportional to 519.87, 717.33 and 298.80

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Solution

The fourth proportional to 519.87, 717.33 and 298.80 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.87 : 717.33 = 298.80 : x
  2. Step 2: Convert to fraction form
    519.87/717.33 = 298.80/x
  3. Step 3: Cross multiply
    519.87x = 717.33 × 298.80
  4. Step 4: Simplify right side
    519.87x = 214,338.20
  5. Step 5: Solve for x
    x = 214,338.20/519.87
  6. Step 6: Final answer
    x = 412.29

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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.