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Finding the Fourth Proportional to 1,413.62, 2,118.90 and 682.28

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Solution

The fourth proportional to 1,413.62, 2,118.90 and 682.28 is: 1,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.62 : 2,118.90 = 682.28 : x
  2. Step 2: Convert to fraction form
    1,413.62/2,118.90 = 682.28/x
  3. Step 3: Cross multiply
    1,413.62x = 2,118.90 × 682.28
  4. Step 4: Simplify right side
    1,413.62x = 1,445,683.09
  5. Step 5: Solve for x
    x = 1,445,683.09/1,413.62
  6. Step 6: Final answer
    x = 1,022.68

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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.