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Finding the Fourth Proportional to 940.86, 1,296.63 and 754.95

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Solution

The fourth proportional to 940.86, 1,296.63 and 754.95 is: 1,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.86 : 1,296.63 = 754.95 : x
  2. Step 2: Convert to fraction form
    940.86/1,296.63 = 754.95/x
  3. Step 3: Cross multiply
    940.86x = 1,296.63 × 754.95
  4. Step 4: Simplify right side
    940.86x = 978,890.82
  5. Step 5: Solve for x
    x = 978,890.82/940.86
  6. Step 6: Final answer
    x = 1,040.42

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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.