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Finding the Fourth Proportional to 843.09, 1,163.61 and 621.77

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Solution

The fourth proportional to 843.09, 1,163.61 and 621.77 is: 858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.09 : 1,163.61 = 621.77 : x
  2. Step 2: Convert to fraction form
    843.09/1,163.61 = 621.77/x
  3. Step 3: Cross multiply
    843.09x = 1,163.61 × 621.77
  4. Step 4: Simplify right side
    843.09x = 723,491.97
  5. Step 5: Solve for x
    x = 723,491.97/843.09
  6. Step 6: Final answer
    x = 858.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.