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Finding the Fourth Proportional to 940.77, 1,297.44 and 743.94

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Solution

The fourth proportional to 940.77, 1,297.44 and 743.94 is: 1,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.77 : 1,297.44 = 743.94 : x
  2. Step 2: Convert to fraction form
    940.77/1,297.44 = 743.94/x
  3. Step 3: Cross multiply
    940.77x = 1,297.44 × 743.94
  4. Step 4: Simplify right side
    940.77x = 965,217.51
  5. Step 5: Solve for x
    x = 965,217.51/940.77
  6. Step 6: Final answer
    x = 1,025.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.