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Finding the Fourth Proportional to 1,382.82, 1,908.99 and 911.40

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Solution

The fourth proportional to 1,382.82, 1,908.99 and 911.40 is: 1,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.82 : 1,908.99 = 911.40 : x
  2. Step 2: Convert to fraction form
    1,382.82/1,908.99 = 911.40/x
  3. Step 3: Cross multiply
    1,382.82x = 1,908.99 × 911.40
  4. Step 4: Simplify right side
    1,382.82x = 1,739,859.63
  5. Step 5: Solve for x
    x = 1,739,859.63/1,382.82
  6. Step 6: Final answer
    x = 1,258.20

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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.