Home / 1,413.59-2,121.26-746.55

Finding the Fourth Proportional to 1,413.59, 2,121.26 and 746.55

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Solution

The fourth proportional to 1,413.59, 2,121.26 and 746.55 is: 1,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.59 : 2,121.26 = 746.55 : x
  2. Step 2: Convert to fraction form
    1,413.59/2,121.26 = 746.55/x
  3. Step 3: Cross multiply
    1,413.59x = 2,121.26 × 746.55
  4. Step 4: Simplify right side
    1,413.59x = 1,583,622.92
  5. Step 5: Solve for x
    x = 1,583,622.92/1,413.59
  6. Step 6: Final answer
    x = 1,120.29

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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.