Home / 1,822.15-2,733.23-523.59

Finding the Fourth Proportional to 1,822.15, 2,733.23 and 523.59

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Solution

The fourth proportional to 1,822.15, 2,733.23 and 523.59 is: 785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.15 : 2,733.23 = 523.59 : x
  2. Step 2: Convert to fraction form
    1,822.15/2,733.23 = 523.59/x
  3. Step 3: Cross multiply
    1,822.15x = 2,733.23 × 523.59
  4. Step 4: Simplify right side
    1,822.15x = 1,431,091.90
  5. Step 5: Solve for x
    x = 1,431,091.90/1,822.15
  6. Step 6: Final answer
    x = 785.39

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1.5x scale

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.