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Finding the Fourth Proportional to 871.01, 1,198.87 and 787.94

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Solution

The fourth proportional to 871.01, 1,198.87 and 787.94 is: 1,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.01 : 1,198.87 = 787.94 : x
  2. Step 2: Convert to fraction form
    871.01/1,198.87 = 787.94/x
  3. Step 3: Cross multiply
    871.01x = 1,198.87 × 787.94
  4. Step 4: Simplify right side
    871.01x = 944,638.66
  5. Step 5: Solve for x
    x = 944,638.66/871.01
  6. Step 6: Final answer
    x = 1,084.53

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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.