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Finding the Fourth Proportional to 695.29, 1,042.21 and 329.64

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Solution

The fourth proportional to 695.29, 1,042.21 and 329.64 is: 494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.29 : 1,042.21 = 329.64 : x
  2. Step 2: Convert to fraction form
    695.29/1,042.21 = 329.64/x
  3. Step 3: Cross multiply
    695.29x = 1,042.21 × 329.64
  4. Step 4: Simplify right side
    695.29x = 343,552.46
  5. Step 5: Solve for x
    x = 343,552.46/695.29
  6. Step 6: Final answer
    x = 494.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.