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Finding the Fourth Proportional to 1,791.77, 2,687.15 and 695.90

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Solution

The fourth proportional to 1,791.77, 2,687.15 and 695.90 is: 1,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.77 : 2,687.15 = 695.90 : x
  2. Step 2: Convert to fraction form
    1,791.77/2,687.15 = 695.90/x
  3. Step 3: Cross multiply
    1,791.77x = 2,687.15 × 695.90
  4. Step 4: Simplify right side
    1,791.77x = 1,869,984.21
  5. Step 5: Solve for x
    x = 1,869,984.21/1,791.77
  6. Step 6: Final answer
    x = 1,043.65

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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.