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Finding the Fourth Proportional to 1,092.80, 1,507.02 and 843.71

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Solution

The fourth proportional to 1,092.80, 1,507.02 and 843.71 is: 1,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.80 : 1,507.02 = 843.71 : x
  2. Step 2: Convert to fraction form
    1,092.80/1,507.02 = 843.71/x
  3. Step 3: Cross multiply
    1,092.80x = 1,507.02 × 843.71
  4. Step 4: Simplify right side
    1,092.80x = 1,271,487.84
  5. Step 5: Solve for x
    x = 1,271,487.84/1,092.80
  6. Step 6: Final answer
    x = 1,163.51

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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.