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Finding the Fourth Proportional to 695.27, 1,046.96 and 513.93

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Solution

The fourth proportional to 695.27, 1,046.96 and 513.93 is: 773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.27 : 1,046.96 = 513.93 : x
  2. Step 2: Convert to fraction form
    695.27/1,046.96 = 513.93/x
  3. Step 3: Cross multiply
    695.27x = 1,046.96 × 513.93
  4. Step 4: Simplify right side
    695.27x = 538,067.44
  5. Step 5: Solve for x
    x = 538,067.44/695.27
  6. Step 6: Final answer
    x = 773.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.