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Finding the Fourth Proportional to 1,272.88, 1,912.29 and 786.34

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Solution

The fourth proportional to 1,272.88, 1,912.29 and 786.34 is: 1,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.88 : 1,912.29 = 786.34 : x
  2. Step 2: Convert to fraction form
    1,272.88/1,912.29 = 786.34/x
  3. Step 3: Cross multiply
    1,272.88x = 1,912.29 × 786.34
  4. Step 4: Simplify right side
    1,272.88x = 1,503,710.12
  5. Step 5: Solve for x
    x = 1,503,710.12/1,272.88
  6. Step 6: Final answer
    x = 1,181.34

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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.