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Finding the Fourth Proportional to 940.87, 1,408.56 and 767.27

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Solution

The fourth proportional to 940.87, 1,408.56 and 767.27 is: 1,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.87 : 1,408.56 = 767.27 : x
  2. Step 2: Convert to fraction form
    940.87/1,408.56 = 767.27/x
  3. Step 3: Cross multiply
    940.87x = 1,408.56 × 767.27
  4. Step 4: Simplify right side
    940.87x = 1,080,752.95
  5. Step 5: Solve for x
    x = 1,080,752.95/940.87
  6. Step 6: Final answer
    x = 1,148.68

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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.