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Finding the Fourth Proportional to 721.99, 996.34 and 411.49

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Solution

The fourth proportional to 721.99, 996.34 and 411.49 is: 567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.99 : 996.34 = 411.49 : x
  2. Step 2: Convert to fraction form
    721.99/996.34 = 411.49/x
  3. Step 3: Cross multiply
    721.99x = 996.34 × 411.49
  4. Step 4: Simplify right side
    721.99x = 409,983.95
  5. Step 5: Solve for x
    x = 409,983.95/721.99
  6. Step 6: Final answer
    x = 567.85

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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.