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Finding the Fourth Proportional to 1,453.61, 2,180.42 and 413.73

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Solution

The fourth proportional to 1,453.61, 2,180.42 and 413.73 is: 620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.61 : 2,180.42 = 413.73 : x
  2. Step 2: Convert to fraction form
    1,453.61/2,180.42 = 413.73/x
  3. Step 3: Cross multiply
    1,453.61x = 2,180.42 × 413.73
  4. Step 4: Simplify right side
    1,453.61x = 902,103.10
  5. Step 5: Solve for x
    x = 902,103.10/1,453.61
  6. Step 6: Final answer
    x = 620.60

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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.