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Finding the Fourth Proportional to 825.62, 1,232.54 and 796.79

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Solution

The fourth proportional to 825.62, 1,232.54 and 796.79 is: 1,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.62 : 1,232.54 = 796.79 : x
  2. Step 2: Convert to fraction form
    825.62/1,232.54 = 796.79/x
  3. Step 3: Cross multiply
    825.62x = 1,232.54 × 796.79
  4. Step 4: Simplify right side
    825.62x = 982,075.55
  5. Step 5: Solve for x
    x = 982,075.55/825.62
  6. Step 6: Final answer
    x = 1,189.50

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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.