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Finding the Fourth Proportional to 823.02, 1,231.73 and 641.25

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Solution

The fourth proportional to 823.02, 1,231.73 and 641.25 is: 959.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.02 : 1,231.73 = 641.25 : x
  2. Step 2: Convert to fraction form
    823.02/1,231.73 = 641.25/x
  3. Step 3: Cross multiply
    823.02x = 1,231.73 × 641.25
  4. Step 4: Simplify right side
    823.02x = 789,846.86
  5. Step 5: Solve for x
    x = 789,846.86/823.02
  6. Step 6: Final answer
    x = 959.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.