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Finding the Fourth Proportional to 1,105.77, 1,525.05 and 791.09

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Solution

The fourth proportional to 1,105.77, 1,525.05 and 791.09 is: 1,091.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.77 : 1,525.05 = 791.09 : x
  2. Step 2: Convert to fraction form
    1,105.77/1,525.05 = 791.09/x
  3. Step 3: Cross multiply
    1,105.77x = 1,525.05 × 791.09
  4. Step 4: Simplify right side
    1,105.77x = 1,206,444.18
  5. Step 5: Solve for x
    x = 1,206,444.18/1,105.77
  6. Step 6: Final answer
    x = 1,091.04

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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.