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Finding the Fourth Proportional to 843.13, 1,163.63 and 493.82

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Solution

The fourth proportional to 843.13, 1,163.63 and 493.82 is: 681.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.13 : 1,163.63 = 493.82 : x
  2. Step 2: Convert to fraction form
    843.13/1,163.63 = 493.82/x
  3. Step 3: Cross multiply
    843.13x = 1,163.63 × 493.82
  4. Step 4: Simplify right side
    843.13x = 574,615.48
  5. Step 5: Solve for x
    x = 574,615.48/843.13
  6. Step 6: Final answer
    x = 681.53

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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.