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Finding the Fourth Proportional to 1,764.94, 2,648.43 and 791.04

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Solution

The fourth proportional to 1,764.94, 2,648.43 and 791.04 is: 1,187.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.94 : 2,648.43 = 791.04 : x
  2. Step 2: Convert to fraction form
    1,764.94/2,648.43 = 791.04/x
  3. Step 3: Cross multiply
    1,764.94x = 2,648.43 × 791.04
  4. Step 4: Simplify right side
    1,764.94x = 2,094,996.87
  5. Step 5: Solve for x
    x = 2,094,996.87/1,764.94
  6. Step 6: Final answer
    x = 1,187.01

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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.