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Finding the Fourth Proportional to 695.69, 960.24 and 416.11

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Solution

The fourth proportional to 695.69, 960.24 and 416.11 is: 574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.69 : 960.24 = 416.11 : x
  2. Step 2: Convert to fraction form
    695.69/960.24 = 416.11/x
  3. Step 3: Cross multiply
    695.69x = 960.24 × 416.11
  4. Step 4: Simplify right side
    695.69x = 399,558.58
  5. Step 5: Solve for x
    x = 399,558.58/695.69
  6. Step 6: Final answer
    x = 574.34

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1.5x scale

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.