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Finding the Fourth Proportional to 843.55, 1,162.83 and 656.71

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Solution

The fourth proportional to 843.55, 1,162.83 and 656.71 is: 905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.55 : 1,162.83 = 656.71 : x
  2. Step 2: Convert to fraction form
    843.55/1,162.83 = 656.71/x
  3. Step 3: Cross multiply
    843.55x = 1,162.83 × 656.71
  4. Step 4: Simplify right side
    843.55x = 763,642.09
  5. Step 5: Solve for x
    x = 763,642.09/843.55
  6. Step 6: Final answer
    x = 905.27

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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.