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Finding the Fourth Proportional to 695.97, 960.57 and 401.31

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Solution

The fourth proportional to 695.97, 960.57 and 401.31 is: 553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.97 : 960.57 = 401.31 : x
  2. Step 2: Convert to fraction form
    695.97/960.57 = 401.31/x
  3. Step 3: Cross multiply
    695.97x = 960.57 × 401.31
  4. Step 4: Simplify right side
    695.97x = 385,486.35
  5. Step 5: Solve for x
    x = 385,486.35/695.97
  6. Step 6: Final answer
    x = 553.88

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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.