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Finding the Fourth Proportional to 843.19, 1,163.61 and 493.88

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Solution

The fourth proportional to 843.19, 1,163.61 and 493.88 is: 681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.19 : 1,163.61 = 493.88 : x
  2. Step 2: Convert to fraction form
    843.19/1,163.61 = 493.88/x
  3. Step 3: Cross multiply
    843.19x = 1,163.61 × 493.88
  4. Step 4: Simplify right side
    843.19x = 574,677.89
  5. Step 5: Solve for x
    x = 574,677.89/843.19
  6. Step 6: Final answer
    x = 681.55

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Double scale
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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.