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Finding the Fourth Proportional to 519.49, 717.03 and 362.15

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Solution

The fourth proportional to 519.49, 717.03 and 362.15 is: 499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.49 : 717.03 = 362.15 : x
  2. Step 2: Convert to fraction form
    519.49/717.03 = 362.15/x
  3. Step 3: Cross multiply
    519.49x = 717.03 × 362.15
  4. Step 4: Simplify right side
    519.49x = 259,672.41
  5. Step 5: Solve for x
    x = 259,672.41/519.49
  6. Step 6: Final answer
    x = 499.87

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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.