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Finding the Fourth Proportional to 695.78, 960.28 and 397.02

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Solution

The fourth proportional to 695.78, 960.28 and 397.02 is: 547.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 960.28 = 397.02 : x
  2. Step 2: Convert to fraction form
    695.78/960.28 = 397.02/x
  3. Step 3: Cross multiply
    695.78x = 960.28 × 397.02
  4. Step 4: Simplify right side
    695.78x = 381,252.97
  5. Step 5: Solve for x
    x = 381,252.97/695.78
  6. Step 6: Final answer
    x = 547.95

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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.