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Finding the Fourth Proportional to 695.72, 960.34 and 462.92

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Solution

The fourth proportional to 695.72, 960.34 and 462.92 is: 638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.72 : 960.34 = 462.92 : x
  2. Step 2: Convert to fraction form
    695.72/960.34 = 462.92/x
  3. Step 3: Cross multiply
    695.72x = 960.34 × 462.92
  4. Step 4: Simplify right side
    695.72x = 444,560.59
  5. Step 5: Solve for x
    x = 444,560.59/695.72
  6. Step 6: Final answer
    x = 638.99

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Double scale
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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.