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Finding the Fourth Proportional to 825.38, 1,231.02 and 812.69

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Solution

The fourth proportional to 825.38, 1,231.02 and 812.69 is: 1,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.38 : 1,231.02 = 812.69 : x
  2. Step 2: Convert to fraction form
    825.38/1,231.02 = 812.69/x
  3. Step 3: Cross multiply
    825.38x = 1,231.02 × 812.69
  4. Step 4: Simplify right side
    825.38x = 1,000,437.64
  5. Step 5: Solve for x
    x = 1,000,437.64/825.38
  6. Step 6: Final answer
    x = 1,212.09

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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.