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Finding the Fourth Proportional to 695.21, 959.40 and 396.42

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Solution

The fourth proportional to 695.21, 959.40 and 396.42 is: 547.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.21 : 959.40 = 396.42 : x
  2. Step 2: Convert to fraction form
    695.21/959.40 = 396.42/x
  3. Step 3: Cross multiply
    695.21x = 959.40 × 396.42
  4. Step 4: Simplify right side
    695.21x = 380,325.35
  5. Step 5: Solve for x
    x = 380,325.35/695.21
  6. Step 6: Final answer
    x = 547.07

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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.