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Finding the Fourth Proportional to 519.73, 717.37 and 323.12

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Solution

The fourth proportional to 519.73, 717.37 and 323.12 is: 446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.73 : 717.37 = 323.12 : x
  2. Step 2: Convert to fraction form
    519.73/717.37 = 323.12/x
  3. Step 3: Cross multiply
    519.73x = 717.37 × 323.12
  4. Step 4: Simplify right side
    519.73x = 231,797.58
  5. Step 5: Solve for x
    x = 231,797.58/519.73
  6. Step 6: Final answer
    x = 446.00

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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.