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Finding the Fourth Proportional to 787.75, 1,181.72 and 422.03

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Solution

The fourth proportional to 787.75, 1,181.72 and 422.03 is: 633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.75 : 1,181.72 = 422.03 : x
  2. Step 2: Convert to fraction form
    787.75/1,181.72 = 422.03/x
  3. Step 3: Cross multiply
    787.75x = 1,181.72 × 422.03
  4. Step 4: Simplify right side
    787.75x = 498,725.30
  5. Step 5: Solve for x
    x = 498,725.30/787.75
  6. Step 6: Final answer
    x = 633.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.