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Finding the Fourth Proportional to 723.63, 998.57 and 408.96

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Solution

The fourth proportional to 723.63, 998.57 and 408.96 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.63 : 998.57 = 408.96 : x
  2. Step 2: Convert to fraction form
    723.63/998.57 = 408.96/x
  3. Step 3: Cross multiply
    723.63x = 998.57 × 408.96
  4. Step 4: Simplify right side
    723.63x = 408,375.19
  5. Step 5: Solve for x
    x = 408,375.19/723.63
  6. Step 6: Final answer
    x = 564.34

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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.