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Finding the Fourth Proportional to 722.43, 998.24 and 576.27

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Solution

The fourth proportional to 722.43, 998.24 and 576.27 is: 796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.43 : 998.24 = 576.27 : x
  2. Step 2: Convert to fraction form
    722.43/998.24 = 576.27/x
  3. Step 3: Cross multiply
    722.43x = 998.24 × 576.27
  4. Step 4: Simplify right side
    722.43x = 575,252.88
  5. Step 5: Solve for x
    x = 575,252.88/722.43
  6. Step 6: Final answer
    x = 796.27

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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.