Home / 1,216.23-1,678.77-823.25

Finding the Fourth Proportional to 1,216.23, 1,678.77 and 823.25

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Solution

The fourth proportional to 1,216.23, 1,678.77 and 823.25 is: 1,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.23 : 1,678.77 = 823.25 : x
  2. Step 2: Convert to fraction form
    1,216.23/1,678.77 = 823.25/x
  3. Step 3: Cross multiply
    1,216.23x = 1,678.77 × 823.25
  4. Step 4: Simplify right side
    1,216.23x = 1,382,039.01
  5. Step 5: Solve for x
    x = 1,382,039.01/1,216.23
  6. Step 6: Final answer
    x = 1,136.33

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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.