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Finding the Fourth Proportional to 695.82, 960.96 and 475.34

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Solution

The fourth proportional to 695.82, 960.96 and 475.34 is: 656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.82 : 960.96 = 475.34 : x
  2. Step 2: Convert to fraction form
    695.82/960.96 = 475.34/x
  3. Step 3: Cross multiply
    695.82x = 960.96 × 475.34
  4. Step 4: Simplify right side
    695.82x = 456,782.73
  5. Step 5: Solve for x
    x = 456,782.73/695.82
  6. Step 6: Final answer
    x = 656.47

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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.