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Finding the Fourth Proportional to 843.14, 1,163.12 and 656.30

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Solution

The fourth proportional to 843.14, 1,163.12 and 656.30 is: 905.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.14 : 1,163.12 = 656.30 : x
  2. Step 2: Convert to fraction form
    843.14/1,163.12 = 656.30/x
  3. Step 3: Cross multiply
    843.14x = 1,163.12 × 656.30
  4. Step 4: Simplify right side
    843.14x = 763,355.66
  5. Step 5: Solve for x
    x = 763,355.66/843.14
  6. Step 6: Final answer
    x = 905.37

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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.