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Finding the Fourth Proportional to 843.03, 1,256.63 and 806.13

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Solution

The fourth proportional to 843.03, 1,256.63 and 806.13 is: 1,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.03 : 1,256.63 = 806.13 : x
  2. Step 2: Convert to fraction form
    843.03/1,256.63 = 806.13/x
  3. Step 3: Cross multiply
    843.03x = 1,256.63 × 806.13
  4. Step 4: Simplify right side
    843.03x = 1,013,003.11
  5. Step 5: Solve for x
    x = 1,013,003.11/843.03
  6. Step 6: Final answer
    x = 1,201.62

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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.