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Finding the Fourth Proportional to 843.22, 1,164.54 and 656.14

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Solution

The fourth proportional to 843.22, 1,164.54 and 656.14 is: 906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.22 : 1,164.54 = 656.14 : x
  2. Step 2: Convert to fraction form
    843.22/1,164.54 = 656.14/x
  3. Step 3: Cross multiply
    843.22x = 1,164.54 × 656.14
  4. Step 4: Simplify right side
    843.22x = 764,101.28
  5. Step 5: Solve for x
    x = 764,101.28/843.22
  6. Step 6: Final answer
    x = 906.17

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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.