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Finding the Fourth Proportional to 1,787.25, 2,680.97 and 633.09

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Solution

The fourth proportional to 1,787.25, 2,680.97 and 633.09 is: 949.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.25 : 2,680.97 = 633.09 : x
  2. Step 2: Convert to fraction form
    1,787.25/2,680.97 = 633.09/x
  3. Step 3: Cross multiply
    1,787.25x = 2,680.97 × 633.09
  4. Step 4: Simplify right side
    1,787.25x = 1,697,292.13
  5. Step 5: Solve for x
    x = 1,697,292.13/1,787.25
  6. Step 6: Final answer
    x = 949.67

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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.