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Finding the Fourth Proportional to 695.95, 1,043.88 and 677.73

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Solution

The fourth proportional to 695.95, 1,043.88 and 677.73 is: 1,016.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.95 : 1,043.88 = 677.73 : x
  2. Step 2: Convert to fraction form
    695.95/1,043.88 = 677.73/x
  3. Step 3: Cross multiply
    695.95x = 1,043.88 × 677.73
  4. Step 4: Simplify right side
    695.95x = 707,468.79
  5. Step 5: Solve for x
    x = 707,468.79/695.95
  6. Step 6: Final answer
    x = 1,016.55

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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.