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Finding the Fourth Proportional to 663.69, 993 and 413.55

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Solution

The fourth proportional to 663.69, 993 and 413.55 is: 618.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.69 : 993 = 413.55 : x
  2. Step 2: Convert to fraction form
    663.69/993 = 413.55/x
  3. Step 3: Cross multiply
    663.69x = 993 × 413.55
  4. Step 4: Simplify right side
    663.69x = 410,655.15
  5. Step 5: Solve for x
    x = 410,655.15/663.69
  6. Step 6: Final answer
    x = 618.75

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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.