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Finding the Fourth Proportional to 1,413.81, 2,120.76 and 439.88

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Solution

The fourth proportional to 1,413.81, 2,120.76 and 439.88 is: 659.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.81 : 2,120.76 = 439.88 : x
  2. Step 2: Convert to fraction form
    1,413.81/2,120.76 = 439.88/x
  3. Step 3: Cross multiply
    1,413.81x = 2,120.76 × 439.88
  4. Step 4: Simplify right side
    1,413.81x = 932,869.31
  5. Step 5: Solve for x
    x = 932,869.31/1,413.81
  6. Step 6: Final answer
    x = 659.83

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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.