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Finding the Fourth Proportional to 843.97, 1,259.56 and 822.10

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Solution

The fourth proportional to 843.97, 1,259.56 and 822.10 is: 1,226.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.97 : 1,259.56 = 822.10 : x
  2. Step 2: Convert to fraction form
    843.97/1,259.56 = 822.10/x
  3. Step 3: Cross multiply
    843.97x = 1,259.56 × 822.10
  4. Step 4: Simplify right side
    843.97x = 1,035,484.28
  5. Step 5: Solve for x
    x = 1,035,484.28/843.97
  6. Step 6: Final answer
    x = 1,226.92

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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.