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Finding the Fourth Proportional to 2,285.09, 3,427.22 and 641.23

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Solution

The fourth proportional to 2,285.09, 3,427.22 and 641.23 is: 961.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.09 : 3,427.22 = 641.23 : x
  2. Step 2: Convert to fraction form
    2,285.09/3,427.22 = 641.23/x
  3. Step 3: Cross multiply
    2,285.09x = 3,427.22 × 641.23
  4. Step 4: Simplify right side
    2,285.09x = 2,197,629.32
  5. Step 5: Solve for x
    x = 2,197,629.32/2,285.09
  6. Step 6: Final answer
    x = 961.72

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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.