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Finding the Fourth Proportional to 695.33, 1,042.90 and 233.11

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Solution

The fourth proportional to 695.33, 1,042.90 and 233.11 is: 349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.33 : 1,042.90 = 233.11 : x
  2. Step 2: Convert to fraction form
    695.33/1,042.90 = 233.11/x
  3. Step 3: Cross multiply
    695.33x = 1,042.90 × 233.11
  4. Step 4: Simplify right side
    695.33x = 243,110.42
  5. Step 5: Solve for x
    x = 243,110.42/695.33
  6. Step 6: Final answer
    x = 349.63

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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.