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Finding the Fourth Proportional to 695.96, 960.43 and 381.21

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Solution

The fourth proportional to 695.96, 960.43 and 381.21 is: 526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.96 : 960.43 = 381.21 : x
  2. Step 2: Convert to fraction form
    695.96/960.43 = 381.21/x
  3. Step 3: Cross multiply
    695.96x = 960.43 × 381.21
  4. Step 4: Simplify right side
    695.96x = 366,123.61
  5. Step 5: Solve for x
    x = 366,123.61/695.96
  6. Step 6: Final answer
    x = 526.07

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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.