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Finding the Fourth Proportional to 2,272.50, 3,408.75 and 733.50

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Solution

The fourth proportional to 2,272.50, 3,408.75 and 733.50 is: 1,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.50 : 3,408.75 = 733.50 : x
  2. Step 2: Convert to fraction form
    2,272.50/3,408.75 = 733.50/x
  3. Step 3: Cross multiply
    2,272.50x = 3,408.75 × 733.50
  4. Step 4: Simplify right side
    2,272.50x = 2,500,318.13
  5. Step 5: Solve for x
    x = 2,500,318.13/2,272.50
  6. Step 6: Final answer
    x = 1,100.25

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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.