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Finding the Fourth Proportional to 695.78, 961.16 and 486.52

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Solution

The fourth proportional to 695.78, 961.16 and 486.52 is: 672.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.78 : 961.16 = 486.52 : x
  2. Step 2: Convert to fraction form
    695.78/961.16 = 486.52/x
  3. Step 3: Cross multiply
    695.78x = 961.16 × 486.52
  4. Step 4: Simplify right side
    695.78x = 467,623.56
  5. Step 5: Solve for x
    x = 467,623.56/695.78
  6. Step 6: Final answer
    x = 672.09

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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.