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Finding the Fourth Proportional to 1,194.31, 1,791.77 and 646.49

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Solution

The fourth proportional to 1,194.31, 1,791.77 and 646.49 is: 969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.31 : 1,791.77 = 646.49 : x
  2. Step 2: Convert to fraction form
    1,194.31/1,791.77 = 646.49/x
  3. Step 3: Cross multiply
    1,194.31x = 1,791.77 × 646.49
  4. Step 4: Simplify right side
    1,194.31x = 1,158,361.39
  5. Step 5: Solve for x
    x = 1,158,361.39/1,194.31
  6. Step 6: Final answer
    x = 969.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.