Home / 1,609.29-2,413.62-786.74

Finding the Fourth Proportional to 1,609.29, 2,413.62 and 786.74

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Solution

The fourth proportional to 1,609.29, 2,413.62 and 786.74 is: 1,179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.29 : 2,413.62 = 786.74 : x
  2. Step 2: Convert to fraction form
    1,609.29/2,413.62 = 786.74/x
  3. Step 3: Cross multiply
    1,609.29x = 2,413.62 × 786.74
  4. Step 4: Simplify right side
    1,609.29x = 1,898,879.33
  5. Step 5: Solve for x
    x = 1,898,879.33/1,609.29
  6. Step 6: Final answer
    x = 1,179.95

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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.