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Finding the Fourth Proportional to 1,096.73, 1,644.13 and 413.21

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Solution

The fourth proportional to 1,096.73, 1,644.13 and 413.21 is: 619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.73 : 1,644.13 = 413.21 : x
  2. Step 2: Convert to fraction form
    1,096.73/1,644.13 = 413.21/x
  3. Step 3: Cross multiply
    1,096.73x = 1,644.13 × 413.21
  4. Step 4: Simplify right side
    1,096.73x = 679,370.96
  5. Step 5: Solve for x
    x = 679,370.96/1,096.73
  6. Step 6: Final answer
    x = 619.45

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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.