Home / 1,413.51-2,120.47-439.71

Finding the Fourth Proportional to 1,413.51, 2,120.47 and 439.71

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Solution

The fourth proportional to 1,413.51, 2,120.47 and 439.71 is: 659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.51 : 2,120.47 = 439.71 : x
  2. Step 2: Convert to fraction form
    1,413.51/2,120.47 = 439.71/x
  3. Step 3: Cross multiply
    1,413.51x = 2,120.47 × 439.71
  4. Step 4: Simplify right side
    1,413.51x = 932,390.76
  5. Step 5: Solve for x
    x = 932,390.76/1,413.51
  6. Step 6: Final answer
    x = 659.63

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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.