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Finding the Fourth Proportional to 1,106.97, 1,528.82 and 861.22

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Solution

The fourth proportional to 1,106.97, 1,528.82 and 861.22 is: 1,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.97 : 1,528.82 = 861.22 : x
  2. Step 2: Convert to fraction form
    1,106.97/1,528.82 = 861.22/x
  3. Step 3: Cross multiply
    1,106.97x = 1,528.82 × 861.22
  4. Step 4: Simplify right side
    1,106.97x = 1,316,650.36
  5. Step 5: Solve for x
    x = 1,316,650.36/1,106.97
  6. Step 6: Final answer
    x = 1,189.42

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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.