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Finding the Fourth Proportional to 855.11, 1,181.25 and 661.12

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Solution

The fourth proportional to 855.11, 1,181.25 and 661.12 is: 913.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.11 : 1,181.25 = 661.12 : x
  2. Step 2: Convert to fraction form
    855.11/1,181.25 = 661.12/x
  3. Step 3: Cross multiply
    855.11x = 1,181.25 × 661.12
  4. Step 4: Simplify right side
    855.11x = 780,945.05
  5. Step 5: Solve for x
    x = 780,945.05/855.11
  6. Step 6: Final answer
    x = 913.27

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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.