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Finding the Fourth Proportional to 695.93, 960.18 and 401.14

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Solution

The fourth proportional to 695.93, 960.18 and 401.14 is: 553.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.93 : 960.18 = 401.14 : x
  2. Step 2: Convert to fraction form
    695.93/960.18 = 401.14/x
  3. Step 3: Cross multiply
    695.93x = 960.18 × 401.14
  4. Step 4: Simplify right side
    695.93x = 385,166.30
  5. Step 5: Solve for x
    x = 385,166.30/695.93
  6. Step 6: Final answer
    x = 553.46

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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.