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Finding the Fourth Proportional to 1,716.64, 2,573.42 and 791.73

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Solution

The fourth proportional to 1,716.64, 2,573.42 and 791.73 is: 1,186.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.64 : 2,573.42 = 791.73 : x
  2. Step 2: Convert to fraction form
    1,716.64/2,573.42 = 791.73/x
  3. Step 3: Cross multiply
    1,716.64x = 2,573.42 × 791.73
  4. Step 4: Simplify right side
    1,716.64x = 2,037,449.36
  5. Step 5: Solve for x
    x = 2,037,449.36/1,716.64
  6. Step 6: Final answer
    x = 1,186.88

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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.