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Finding the Fourth Proportional to 2,272.35, 3,408.56 and 628.91

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Solution

The fourth proportional to 2,272.35, 3,408.56 and 628.91 is: 943.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.35 : 3,408.56 = 628.91 : x
  2. Step 2: Convert to fraction form
    2,272.35/3,408.56 = 628.91/x
  3. Step 3: Cross multiply
    2,272.35x = 3,408.56 × 628.91
  4. Step 4: Simplify right side
    2,272.35x = 2,143,689.83
  5. Step 5: Solve for x
    x = 2,143,689.83/2,272.35
  6. Step 6: Final answer
    x = 943.38

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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.