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Finding the Fourth Proportional to 843.51, 1,163.79 and 494.13

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Solution

The fourth proportional to 843.51, 1,163.79 and 494.13 is: 681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.51 : 1,163.79 = 494.13 : x
  2. Step 2: Convert to fraction form
    843.51/1,163.79 = 494.13/x
  3. Step 3: Cross multiply
    843.51x = 1,163.79 × 494.13
  4. Step 4: Simplify right side
    843.51x = 575,063.55
  5. Step 5: Solve for x
    x = 575,063.55/843.51
  6. Step 6: Final answer
    x = 681.75

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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.