Home / 1,413.05-2,119.37-682.43

Finding the Fourth Proportional to 1,413.05, 2,119.37 and 682.43

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Solution

The fourth proportional to 1,413.05, 2,119.37 and 682.43 is: 1,023.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.05 : 2,119.37 = 682.43 : x
  2. Step 2: Convert to fraction form
    1,413.05/2,119.37 = 682.43/x
  3. Step 3: Cross multiply
    1,413.05x = 2,119.37 × 682.43
  4. Step 4: Simplify right side
    1,413.05x = 1,446,307.66
  5. Step 5: Solve for x
    x = 1,446,307.66/1,413.05
  6. Step 6: Final answer
    x = 1,023.54

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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.