Home / 1,413.32-1,950.26-823.91

Finding the Fourth Proportional to 1,413.32, 1,950.26 and 823.91

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Solution

The fourth proportional to 1,413.32, 1,950.26 and 823.91 is: 1,136.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.32 : 1,950.26 = 823.91 : x
  2. Step 2: Convert to fraction form
    1,413.32/1,950.26 = 823.91/x
  3. Step 3: Cross multiply
    1,413.32x = 1,950.26 × 823.91
  4. Step 4: Simplify right side
    1,413.32x = 1,606,843.21
  5. Step 5: Solve for x
    x = 1,606,843.21/1,413.32
  6. Step 6: Final answer
    x = 1,136.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.