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Finding the Fourth Proportional to 843.23, 1,163.18 and 493.85

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Solution

The fourth proportional to 843.23, 1,163.18 and 493.85 is: 681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.23 : 1,163.18 = 493.85 : x
  2. Step 2: Convert to fraction form
    843.23/1,163.18 = 493.85/x
  3. Step 3: Cross multiply
    843.23x = 1,163.18 × 493.85
  4. Step 4: Simplify right side
    843.23x = 574,431.86
  5. Step 5: Solve for x
    x = 574,431.86/843.23
  6. Step 6: Final answer
    x = 681.23

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Double scale
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1.5x scale

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.