Home / 1,413.14-2,120.20-633.06

Finding the Fourth Proportional to 1,413.14, 2,120.20 and 633.06

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Solution

The fourth proportional to 1,413.14, 2,120.20 and 633.06 is: 949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.14 : 2,120.20 = 633.06 : x
  2. Step 2: Convert to fraction form
    1,413.14/2,120.20 = 633.06/x
  3. Step 3: Cross multiply
    1,413.14x = 2,120.20 × 633.06
  4. Step 4: Simplify right side
    1,413.14x = 1,342,212.23
  5. Step 5: Solve for x
    x = 1,342,212.23/1,413.14
  6. Step 6: Final answer
    x = 949.81

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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.