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Finding the Fourth Proportional to 825.01, 1,232.68 and 796.32

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Solution

The fourth proportional to 825.01, 1,232.68 and 796.32 is: 1,189.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.01 : 1,232.68 = 796.32 : x
  2. Step 2: Convert to fraction form
    825.01/1,232.68 = 796.32/x
  3. Step 3: Cross multiply
    825.01x = 1,232.68 × 796.32
  4. Step 4: Simplify right side
    825.01x = 981,607.74
  5. Step 5: Solve for x
    x = 981,607.74/825.01
  6. Step 6: Final answer
    x = 1,189.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.