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Finding the Fourth Proportional to 1,383.68, 1,908.87 and 910.97

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Solution

The fourth proportional to 1,383.68, 1,908.87 and 910.97 is: 1,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.68 : 1,908.87 = 910.97 : x
  2. Step 2: Convert to fraction form
    1,383.68/1,908.87 = 910.97/x
  3. Step 3: Cross multiply
    1,383.68x = 1,908.87 × 910.97
  4. Step 4: Simplify right side
    1,383.68x = 1,738,922.87
  5. Step 5: Solve for x
    x = 1,738,922.87/1,383.68
  6. Step 6: Final answer
    x = 1,256.74

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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.