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Finding the Fourth Proportional to 695.93, 960.49 and 397.18

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Solution

The fourth proportional to 695.93, 960.49 and 397.18 is: 548.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.93 : 960.49 = 397.18 : x
  2. Step 2: Convert to fraction form
    695.93/960.49 = 397.18/x
  3. Step 3: Cross multiply
    695.93x = 960.49 × 397.18
  4. Step 4: Simplify right side
    695.93x = 381,487.71
  5. Step 5: Solve for x
    x = 381,487.71/695.93
  6. Step 6: Final answer
    x = 548.17

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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.