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Finding the Fourth Proportional to 695.77, 960.35 and 401.09

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Solution

The fourth proportional to 695.77, 960.35 and 401.09 is: 553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.77 : 960.35 = 401.09 : x
  2. Step 2: Convert to fraction form
    695.77/960.35 = 401.09/x
  3. Step 3: Cross multiply
    695.77x = 960.35 × 401.09
  4. Step 4: Simplify right side
    695.77x = 385,181.98
  5. Step 5: Solve for x
    x = 385,181.98/695.77
  6. Step 6: Final answer
    x = 553.61

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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.