Home / 1,413.18-2,120.23-682.84

Finding the Fourth Proportional to 1,413.18, 2,120.23 and 682.84

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Solution

The fourth proportional to 1,413.18, 2,120.23 and 682.84 is: 1,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.18 : 2,120.23 = 682.84 : x
  2. Step 2: Convert to fraction form
    1,413.18/2,120.23 = 682.84/x
  3. Step 3: Cross multiply
    1,413.18x = 2,120.23 × 682.84
  4. Step 4: Simplify right side
    1,413.18x = 1,447,777.85
  5. Step 5: Solve for x
    x = 1,447,777.85/1,413.18
  6. Step 6: Final answer
    x = 1,024.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.