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Finding the Fourth Proportional to 721.99, 996.38 and 407.38

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Solution

The fourth proportional to 721.99, 996.38 and 407.38 is: 562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.99 : 996.38 = 407.38 : x
  2. Step 2: Convert to fraction form
    721.99/996.38 = 407.38/x
  3. Step 3: Cross multiply
    721.99x = 996.38 × 407.38
  4. Step 4: Simplify right side
    721.99x = 405,903.25
  5. Step 5: Solve for x
    x = 405,903.25/721.99
  6. Step 6: Final answer
    x = 562.20

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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.