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Finding the Fourth Proportional to 2,276.72, 3,415.09 and 633.27

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Solution

The fourth proportional to 2,276.72, 3,415.09 and 633.27 is: 949.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.72 : 3,415.09 = 633.27 : x
  2. Step 2: Convert to fraction form
    2,276.72/3,415.09 = 633.27/x
  3. Step 3: Cross multiply
    2,276.72x = 3,415.09 × 633.27
  4. Step 4: Simplify right side
    2,276.72x = 2,162,674.04
  5. Step 5: Solve for x
    x = 2,162,674.04/2,276.72
  6. Step 6: Final answer
    x = 949.91

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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.