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Finding the Fourth Proportional to 843.96, 1,160.81 and 677.82

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Solution

The fourth proportional to 843.96, 1,160.81 and 677.82 is: 932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.96 : 1,160.81 = 677.82 : x
  2. Step 2: Convert to fraction form
    843.96/1,160.81 = 677.82/x
  3. Step 3: Cross multiply
    843.96x = 1,160.81 × 677.82
  4. Step 4: Simplify right side
    843.96x = 786,820.23
  5. Step 5: Solve for x
    x = 786,820.23/843.96
  6. Step 6: Final answer
    x = 932.30

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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.