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Finding the Fourth Proportional to 1,381.43, 1,906.36 and 760.43

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Solution

The fourth proportional to 1,381.43, 1,906.36 and 760.43 is: 1,049.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.43 : 1,906.36 = 760.43 : x
  2. Step 2: Convert to fraction form
    1,381.43/1,906.36 = 760.43/x
  3. Step 3: Cross multiply
    1,381.43x = 1,906.36 × 760.43
  4. Step 4: Simplify right side
    1,381.43x = 1,449,643.80
  5. Step 5: Solve for x
    x = 1,449,643.80/1,381.43
  6. Step 6: Final answer
    x = 1,049.38

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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.