Home / 1,644.26-2,464.56-823.22

Finding the Fourth Proportional to 1,644.26, 2,464.56 and 823.22

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Solution

The fourth proportional to 1,644.26, 2,464.56 and 823.22 is: 1,233.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644.26 : 2,464.56 = 823.22 : x
  2. Step 2: Convert to fraction form
    1,644.26/2,464.56 = 823.22/x
  3. Step 3: Cross multiply
    1,644.26x = 2,464.56 × 823.22
  4. Step 4: Simplify right side
    1,644.26x = 2,028,875.08
  5. Step 5: Solve for x
    x = 2,028,875.08/1,644.26
  6. Step 6: Final answer
    x = 1,233.91

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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.