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Finding the Fourth Proportional to 695.76, 960.09 and 415.94

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Solution

The fourth proportional to 695.76, 960.09 and 415.94 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.76 : 960.09 = 415.94 : x
  2. Step 2: Convert to fraction form
    695.76/960.09 = 415.94/x
  3. Step 3: Cross multiply
    695.76x = 960.09 × 415.94
  4. Step 4: Simplify right side
    695.76x = 399,338.87
  5. Step 5: Solve for x
    x = 399,338.87/695.76
  6. Step 6: Final answer
    x = 573.96

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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.