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Finding the Fourth Proportional to 695.97, 960.87 and 538.29

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Solution

The fourth proportional to 695.97, 960.87 and 538.29 is: 743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.97 : 960.87 = 538.29 : x
  2. Step 2: Convert to fraction form
    695.97/960.87 = 538.29/x
  3. Step 3: Cross multiply
    695.97x = 960.87 × 538.29
  4. Step 4: Simplify right side
    695.97x = 517,226.71
  5. Step 5: Solve for x
    x = 517,226.71/695.97
  6. Step 6: Final answer
    x = 743.17

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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.