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Finding the Fourth Proportional to 519.72, 717.19 and 323.23

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Solution

The fourth proportional to 519.72, 717.19 and 323.23 is: 446.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 717.19 = 323.23 : x
  2. Step 2: Convert to fraction form
    519.72/717.19 = 323.23/x
  3. Step 3: Cross multiply
    519.72x = 717.19 × 323.23
  4. Step 4: Simplify right side
    519.72x = 231,815.71
  5. Step 5: Solve for x
    x = 231,815.71/519.72
  6. Step 6: Final answer
    x = 446.04

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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.