Home / 1,413.35-2,121.39-683.44

Finding the Fourth Proportional to 1,413.35, 2,121.39 and 683.44

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Solution

The fourth proportional to 1,413.35, 2,121.39 and 683.44 is: 1,025.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.35 : 2,121.39 = 683.44 : x
  2. Step 2: Convert to fraction form
    1,413.35/2,121.39 = 683.44/x
  3. Step 3: Cross multiply
    1,413.35x = 2,121.39 × 683.44
  4. Step 4: Simplify right side
    1,413.35x = 1,449,837.48
  5. Step 5: Solve for x
    x = 1,449,837.48/1,413.35
  6. Step 6: Final answer
    x = 1,025.82

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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.