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Finding the Fourth Proportional to 940.96, 1,297.27 and 772.28

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Solution

The fourth proportional to 940.96, 1,297.27 and 772.28 is: 1,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.96 : 1,297.27 = 772.28 : x
  2. Step 2: Convert to fraction form
    940.96/1,297.27 = 772.28/x
  3. Step 3: Cross multiply
    940.96x = 1,297.27 × 772.28
  4. Step 4: Simplify right side
    940.96x = 1,001,862.32
  5. Step 5: Solve for x
    x = 1,001,862.32/940.96
  6. Step 6: Final answer
    x = 1,064.73

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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.