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Finding the Fourth Proportional to 519.54, 717.02 and 323.11

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Solution

The fourth proportional to 519.54, 717.02 and 323.11 is: 445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.54 : 717.02 = 323.11 : x
  2. Step 2: Convert to fraction form
    519.54/717.02 = 323.11/x
  3. Step 3: Cross multiply
    519.54x = 717.02 × 323.11
  4. Step 4: Simplify right side
    519.54x = 231,676.33
  5. Step 5: Solve for x
    x = 231,676.33/519.54
  6. Step 6: Final answer
    x = 445.93

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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.