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Finding the Fourth Proportional to 1,413.92, 2,120.74 and 440.00

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Solution

The fourth proportional to 1,413.92, 2,120.74 and 440.00 is: 659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.92 : 2,120.74 = 440.00 : x
  2. Step 2: Convert to fraction form
    1,413.92/2,120.74 = 440.00/x
  3. Step 3: Cross multiply
    1,413.92x = 2,120.74 × 440.00
  4. Step 4: Simplify right side
    1,413.92x = 933,129.80
  5. Step 5: Solve for x
    x = 933,129.80/1,413.92
  6. Step 6: Final answer
    x = 659.96

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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.