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Finding the Fourth Proportional to 519.48, 716.99 and 298.49

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Solution

The fourth proportional to 519.48, 716.99 and 298.49 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.48 : 716.99 = 298.49 : x
  2. Step 2: Convert to fraction form
    519.48/716.99 = 298.49/x
  3. Step 3: Cross multiply
    519.48x = 716.99 × 298.49
  4. Step 4: Simplify right side
    519.48x = 214,009.27
  5. Step 5: Solve for x
    x = 214,009.27/519.48
  6. Step 6: Final answer
    x = 411.97

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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.