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Finding the Fourth Proportional to 2,302.22, 3,453.03 and 742.39

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Solution

The fourth proportional to 2,302.22, 3,453.03 and 742.39 is: 1,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.22 : 3,453.03 = 742.39 : x
  2. Step 2: Convert to fraction form
    2,302.22/3,453.03 = 742.39/x
  3. Step 3: Cross multiply
    2,302.22x = 3,453.03 × 742.39
  4. Step 4: Simplify right side
    2,302.22x = 2,563,486.31
  5. Step 5: Solve for x
    x = 2,563,486.31/2,302.22
  6. Step 6: Final answer
    x = 1,113.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.