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Finding the Fourth Proportional to 2,252.85, 3,378.74 and 609.41

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Solution

The fourth proportional to 2,252.85, 3,378.74 and 609.41 is: 913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.85 : 3,378.74 = 609.41 : x
  2. Step 2: Convert to fraction form
    2,252.85/3,378.74 = 609.41/x
  3. Step 3: Cross multiply
    2,252.85x = 3,378.74 × 609.41
  4. Step 4: Simplify right side
    2,252.85x = 2,059,037.94
  5. Step 5: Solve for x
    x = 2,059,037.94/2,252.85
  6. Step 6: Final answer
    x = 913.97

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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.