Home / 1,822.19-2,733.26-523.65

Finding the Fourth Proportional to 1,822.19, 2,733.26 and 523.65

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Solution

The fourth proportional to 1,822.19, 2,733.26 and 523.65 is: 785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.19 : 2,733.26 = 523.65 : x
  2. Step 2: Convert to fraction form
    1,822.19/2,733.26 = 523.65/x
  3. Step 3: Cross multiply
    1,822.19x = 2,733.26 × 523.65
  4. Step 4: Simplify right side
    1,822.19x = 1,431,268.98
  5. Step 5: Solve for x
    x = 1,431,268.98/1,822.19
  6. Step 6: Final answer
    x = 785.47

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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.