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Finding the Fourth Proportional to 695.18, 959.22 and 396.42

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Solution

The fourth proportional to 695.18, 959.22 and 396.42 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.18 : 959.22 = 396.42 : x
  2. Step 2: Convert to fraction form
    695.18/959.22 = 396.42/x
  3. Step 3: Cross multiply
    695.18x = 959.22 × 396.42
  4. Step 4: Simplify right side
    695.18x = 380,256.02
  5. Step 5: Solve for x
    x = 380,256.02/695.18
  6. Step 6: Final answer
    x = 546.99

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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.