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Finding the Fourth Proportional to 1,091.81, 1,638.97 and 920.63

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Solution

The fourth proportional to 1,091.81, 1,638.97 and 920.63 is: 1,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.81 : 1,638.97 = 920.63 : x
  2. Step 2: Convert to fraction form
    1,091.81/1,638.97 = 920.63/x
  3. Step 3: Cross multiply
    1,091.81x = 1,638.97 × 920.63
  4. Step 4: Simplify right side
    1,091.81x = 1,508,886.75
  5. Step 5: Solve for x
    x = 1,508,886.75/1,091.81
  6. Step 6: Final answer
    x = 1,382.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.