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Finding the Fourth Proportional to 1,161.72, 1,603.18 and 695.97

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Solution

The fourth proportional to 1,161.72, 1,603.18 and 695.97 is: 960.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.72 : 1,603.18 = 695.97 : x
  2. Step 2: Convert to fraction form
    1,161.72/1,603.18 = 695.97/x
  3. Step 3: Cross multiply
    1,161.72x = 1,603.18 × 695.97
  4. Step 4: Simplify right side
    1,161.72x = 1,115,765.18
  5. Step 5: Solve for x
    x = 1,115,765.18/1,161.72
  6. Step 6: Final answer
    x = 960.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.