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Finding the Fourth Proportional to 721.89, 996 and 407.14

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Solution

The fourth proportional to 721.89, 996 and 407.14 is: 561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.89 : 996 = 407.14 : x
  2. Step 2: Convert to fraction form
    721.89/996 = 407.14/x
  3. Step 3: Cross multiply
    721.89x = 996 × 407.14
  4. Step 4: Simplify right side
    721.89x = 405,508.95
  5. Step 5: Solve for x
    x = 405,508.95/721.89
  6. Step 6: Final answer
    x = 561.73

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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.