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Finding the Fourth Proportional to 695.56, 961.14 and 661.82

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Solution

The fourth proportional to 695.56, 961.14 and 661.82 is: 914.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.56 : 961.14 = 661.82 : x
  2. Step 2: Convert to fraction form
    695.56/961.14 = 661.82/x
  3. Step 3: Cross multiply
    695.56x = 961.14 × 661.82
  4. Step 4: Simplify right side
    695.56x = 636,101.67
  5. Step 5: Solve for x
    x = 636,101.67/695.56
  6. Step 6: Final answer
    x = 914.52

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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.