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Finding the Fourth Proportional to 787.64, 1,086.39 and 682.54

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Solution

The fourth proportional to 787.64, 1,086.39 and 682.54 is: 941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.64 : 1,086.39 = 682.54 : x
  2. Step 2: Convert to fraction form
    787.64/1,086.39 = 682.54/x
  3. Step 3: Cross multiply
    787.64x = 1,086.39 × 682.54
  4. Step 4: Simplify right side
    787.64x = 741,508.03
  5. Step 5: Solve for x
    x = 741,508.03/787.64
  6. Step 6: Final answer
    x = 941.43

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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.