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Finding the Fourth Proportional to 843.88, 1,165.14 and 677.92

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Solution

The fourth proportional to 843.88, 1,165.14 and 677.92 is: 936.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.88 : 1,165.14 = 677.92 : x
  2. Step 2: Convert to fraction form
    843.88/1,165.14 = 677.92/x
  3. Step 3: Cross multiply
    843.88x = 1,165.14 × 677.92
  4. Step 4: Simplify right side
    843.88x = 789,871.71
  5. Step 5: Solve for x
    x = 789,871.71/843.88
  6. Step 6: Final answer
    x = 936.00

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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.