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Finding the Fourth Proportional to 1,413.73, 2,120.55 and 644.23

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Solution

The fourth proportional to 1,413.73, 2,120.55 and 644.23 is: 966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.73 : 2,120.55 = 644.23 : x
  2. Step 2: Convert to fraction form
    1,413.73/2,120.55 = 644.23/x
  3. Step 3: Cross multiply
    1,413.73x = 2,120.55 × 644.23
  4. Step 4: Simplify right side
    1,413.73x = 1,366,121.93
  5. Step 5: Solve for x
    x = 1,366,121.93/1,413.73
  6. Step 6: Final answer
    x = 966.32

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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.