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Finding the Fourth Proportional to 695.82, 960.22 and 385.32

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Solution

The fourth proportional to 695.82, 960.22 and 385.32 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 960.22 = 385.32 : x
  2. Step 2: Convert to fraction form
    695.82/960.22 = 385.32/x
  3. Step 3: Cross multiply
    695.82x = 960.22 × 385.32
  4. Step 4: Simplify right side
    695.82x = 369,991.97
  5. Step 5: Solve for x
    x = 369,991.97/695.82
  6. Step 6: Final answer
    x = 531.74

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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.