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Finding the Fourth Proportional to 1,232.63, 1,701.80 and 791.30

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Solution

The fourth proportional to 1,232.63, 1,701.80 and 791.30 is: 1,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.63 : 1,701.80 = 791.30 : x
  2. Step 2: Convert to fraction form
    1,232.63/1,701.80 = 791.30/x
  3. Step 3: Cross multiply
    1,232.63x = 1,701.80 × 791.30
  4. Step 4: Simplify right side
    1,232.63x = 1,346,640.57
  5. Step 5: Solve for x
    x = 1,346,640.57/1,232.63
  6. Step 6: Final answer
    x = 1,092.50

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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.