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Finding the Fourth Proportional to 2,272.28, 3,408 and 628.61

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Solution

The fourth proportional to 2,272.28, 3,408 and 628.61 is: 942.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.28 : 3,408 = 628.61 : x
  2. Step 2: Convert to fraction form
    2,272.28/3,408 = 628.61/x
  3. Step 3: Cross multiply
    2,272.28x = 3,408 × 628.61
  4. Step 4: Simplify right side
    2,272.28x = 2,142,302.88
  5. Step 5: Solve for x
    x = 2,142,302.88/2,272.28
  6. Step 6: Final answer
    x = 942.80

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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.