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Finding the Fourth Proportional to 519.99, 717.65 and 323.57

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Solution

The fourth proportional to 519.99, 717.65 and 323.57 is: 446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.99 : 717.65 = 323.57 : x
  2. Step 2: Convert to fraction form
    519.99/717.65 = 323.57/x
  3. Step 3: Cross multiply
    519.99x = 717.65 × 323.57
  4. Step 4: Simplify right side
    519.99x = 232,204.80
  5. Step 5: Solve for x
    x = 232,204.80/519.99
  6. Step 6: Final answer
    x = 446.56

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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.