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Finding the Fourth Proportional to 1,413.78, 2,120.64 and 439.88

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Solution

The fourth proportional to 1,413.78, 2,120.64 and 439.88 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.78 : 2,120.64 = 439.88 : x
  2. Step 2: Convert to fraction form
    1,413.78/2,120.64 = 439.88/x
  3. Step 3: Cross multiply
    1,413.78x = 2,120.64 × 439.88
  4. Step 4: Simplify right side
    1,413.78x = 932,827.12
  5. Step 5: Solve for x
    x = 932,827.12/1,413.78
  6. Step 6: Final answer
    x = 659.81

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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.