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Finding the Fourth Proportional to 1,380.84, 1,906.41 and 950.40

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Solution

The fourth proportional to 1,380.84, 1,906.41 and 950.40 is: 1,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.84 : 1,906.41 = 950.40 : x
  2. Step 2: Convert to fraction form
    1,380.84/1,906.41 = 950.40/x
  3. Step 3: Cross multiply
    1,380.84x = 1,906.41 × 950.40
  4. Step 4: Simplify right side
    1,380.84x = 1,811,837.78
  5. Step 5: Solve for x
    x = 1,811,837.78/1,380.84
  6. Step 6: Final answer
    x = 1,312.13

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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.