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Finding the Fourth Proportional to 695.05, 1,042.45 and 324.89

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Solution

The fourth proportional to 695.05, 1,042.45 and 324.89 is: 487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.05 : 1,042.45 = 324.89 : x
  2. Step 2: Convert to fraction form
    695.05/1,042.45 = 324.89/x
  3. Step 3: Cross multiply
    695.05x = 1,042.45 × 324.89
  4. Step 4: Simplify right side
    695.05x = 338,679.12
  5. Step 5: Solve for x
    x = 338,679.12/695.05
  6. Step 6: Final answer
    x = 487.27

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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.