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Finding the Fourth Proportional to 519.54, 716.90 and 298.47

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Solution

The fourth proportional to 519.54, 716.90 and 298.47 is: 411.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 716.90 = 298.47 : x
  2. Step 2: Convert to fraction form
    519.54/716.90 = 298.47/x
  3. Step 3: Cross multiply
    519.54x = 716.90 × 298.47
  4. Step 4: Simplify right side
    519.54x = 213,971.65
  5. Step 5: Solve for x
    x = 213,971.65/519.54
  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.