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Finding the Fourth Proportional to 842.84, 1,163.69 and 787.43

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Solution

The fourth proportional to 842.84, 1,163.69 and 787.43 is: 1,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.84 : 1,163.69 = 787.43 : x
  2. Step 2: Convert to fraction form
    842.84/1,163.69 = 787.43/x
  3. Step 3: Cross multiply
    842.84x = 1,163.69 × 787.43
  4. Step 4: Simplify right side
    842.84x = 916,314.66
  5. Step 5: Solve for x
    x = 916,314.66/842.84
  6. Step 6: Final answer
    x = 1,087.18

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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.