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Finding the Fourth Proportional to 940.36, 1,299.54 and 762.97

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Solution

The fourth proportional to 940.36, 1,299.54 and 762.97 is: 1,054.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.36 : 1,299.54 = 762.97 : x
  2. Step 2: Convert to fraction form
    940.36/1,299.54 = 762.97/x
  3. Step 3: Cross multiply
    940.36x = 1,299.54 × 762.97
  4. Step 4: Simplify right side
    940.36x = 991,510.03
  5. Step 5: Solve for x
    x = 991,510.03/940.36
  6. Step 6: Final answer
    x = 1,054.39

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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.