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Finding the Fourth Proportional to 695.98, 961.10 and 447.73

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Solution

The fourth proportional to 695.98, 961.10 and 447.73 is: 618.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.98 : 961.10 = 447.73 : x
  2. Step 2: Convert to fraction form
    695.98/961.10 = 447.73/x
  3. Step 3: Cross multiply
    695.98x = 961.10 × 447.73
  4. Step 4: Simplify right side
    695.98x = 430,317.01
  5. Step 5: Solve for x
    x = 430,317.01/695.98
  6. Step 6: Final answer
    x = 618.29

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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.