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Finding the Fourth Proportional to 843.27, 1,162.83 and 776.31

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Solution

The fourth proportional to 843.27, 1,162.83 and 776.31 is: 1,070.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.27 : 1,162.83 = 776.31 : x
  2. Step 2: Convert to fraction form
    843.27/1,162.83 = 776.31/x
  3. Step 3: Cross multiply
    843.27x = 1,162.83 × 776.31
  4. Step 4: Simplify right side
    843.27x = 902,716.56
  5. Step 5: Solve for x
    x = 902,716.56/843.27
  6. Step 6: Final answer
    x = 1,070.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.