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Finding the Fourth Proportional to 820.51, 1,225.97 and 791.81

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Solution

The fourth proportional to 820.51, 1,225.97 and 791.81 is: 1,183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.51 : 1,225.97 = 791.81 : x
  2. Step 2: Convert to fraction form
    820.51/1,225.97 = 791.81/x
  3. Step 3: Cross multiply
    820.51x = 1,225.97 × 791.81
  4. Step 4: Simplify right side
    820.51x = 970,735.31
  5. Step 5: Solve for x
    x = 970,735.31/820.51
  6. Step 6: Final answer
    x = 1,183.09

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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.