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Finding the Fourth Proportional to 681.08, 938.57 and 459.65

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Solution

The fourth proportional to 681.08, 938.57 and 459.65 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.08 : 938.57 = 459.65 : x
  2. Step 2: Convert to fraction form
    681.08/938.57 = 459.65/x
  3. Step 3: Cross multiply
    681.08x = 938.57 × 459.65
  4. Step 4: Simplify right side
    681.08x = 431,413.75
  5. Step 5: Solve for x
    x = 431,413.75/681.08
  6. Step 6: Final answer
    x = 633.43

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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.