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Finding the Fourth Proportional to 843.36, 1,163.46 and 493.92

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Solution

The fourth proportional to 843.36, 1,163.46 and 493.92 is: 681.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.36 : 1,163.46 = 493.92 : x
  2. Step 2: Convert to fraction form
    843.36/1,163.46 = 493.92/x
  3. Step 3: Cross multiply
    843.36x = 1,163.46 × 493.92
  4. Step 4: Simplify right side
    843.36x = 574,656.16
  5. Step 5: Solve for x
    x = 574,656.16/843.36
  6. Step 6: Final answer
    x = 681.39

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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.