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Finding the Fourth Proportional to 723.65, 994.94 and 644.21

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Solution

The fourth proportional to 723.65, 994.94 and 644.21 is: 885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.65 : 994.94 = 644.21 : x
  2. Step 2: Convert to fraction form
    723.65/994.94 = 644.21/x
  3. Step 3: Cross multiply
    723.65x = 994.94 × 644.21
  4. Step 4: Simplify right side
    723.65x = 640,942.10
  5. Step 5: Solve for x
    x = 640,942.10/723.65
  6. Step 6: Final answer
    x = 885.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.