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Finding the Fourth Proportional to 723.69, 998.59 and 408.91

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Solution

The fourth proportional to 723.69, 998.59 and 408.91 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.69 : 998.59 = 408.91 : x
  2. Step 2: Convert to fraction form
    723.69/998.59 = 408.91/x
  3. Step 3: Cross multiply
    723.69x = 998.59 × 408.91
  4. Step 4: Simplify right side
    723.69x = 408,333.44
  5. Step 5: Solve for x
    x = 408,333.44/723.69
  6. Step 6: Final answer
    x = 564.24

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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.