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Finding the Fourth Proportional to 1,380.53, 1,905.11 and 791.06

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Solution

The fourth proportional to 1,380.53, 1,905.11 and 791.06 is: 1,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.53 : 1,905.11 = 791.06 : x
  2. Step 2: Convert to fraction form
    1,380.53/1,905.11 = 791.06/x
  3. Step 3: Cross multiply
    1,380.53x = 1,905.11 × 791.06
  4. Step 4: Simplify right side
    1,380.53x = 1,507,042.84
  5. Step 5: Solve for x
    x = 1,507,042.84/1,380.53
  6. Step 6: Final answer
    x = 1,091.64

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1.5x scale

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.