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Finding the Fourth Proportional to 685.73, 1,027.05 and 662.66

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Solution

The fourth proportional to 685.73, 1,027.05 and 662.66 is: 992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.73 : 1,027.05 = 662.66 : x
  2. Step 2: Convert to fraction form
    685.73/1,027.05 = 662.66/x
  3. Step 3: Cross multiply
    685.73x = 1,027.05 × 662.66
  4. Step 4: Simplify right side
    685.73x = 680,584.95
  5. Step 5: Solve for x
    x = 680,584.95/685.73
  6. Step 6: Final answer
    x = 992.50

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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.