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Finding the Fourth Proportional to 940.97, 1,296.06 and 847.46

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Solution

The fourth proportional to 940.97, 1,296.06 and 847.46 is: 1,167.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.97 : 1,296.06 = 847.46 : x
  2. Step 2: Convert to fraction form
    940.97/1,296.06 = 847.46/x
  3. Step 3: Cross multiply
    940.97x = 1,296.06 × 847.46
  4. Step 4: Simplify right side
    940.97x = 1,098,359.01
  5. Step 5: Solve for x
    x = 1,098,359.01/940.97
  6. Step 6: Final answer
    x = 1,167.26

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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.