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Finding the Fourth Proportional to 1,768.78, 2,650.20 and 1,151.56

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Solution

The fourth proportional to 1,768.78, 2,650.20 and 1,151.56 is: 1,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.78 : 2,650.20 = 1,151.56 : x
  2. Step 2: Convert to fraction form
    1,768.78/2,650.20 = 1,151.56/x
  3. Step 3: Cross multiply
    1,768.78x = 2,650.20 × 1,151.56
  4. Step 4: Simplify right side
    1,768.78x = 3,051,864.31
  5. Step 5: Solve for x
    x = 3,051,864.31/1,768.78
  6. Step 6: Final answer
    x = 1,725.41

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