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Finding the Fourth Proportional to 663.57, 997.25 and 448.65

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Solution

The fourth proportional to 663.57, 997.25 and 448.65 is: 674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.57 : 997.25 = 448.65 : x
  2. Step 2: Convert to fraction form
    663.57/997.25 = 448.65/x
  3. Step 3: Cross multiply
    663.57x = 997.25 × 448.65
  4. Step 4: Simplify right side
    663.57x = 447,413.97
  5. Step 5: Solve for x
    x = 447,413.97/663.57
  6. Step 6: Final answer
    x = 674.25

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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.