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Finding the Fourth Proportional to 2,302.09, 3,453.45 and 741.58

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Solution

The fourth proportional to 2,302.09, 3,453.45 and 741.58 is: 1,112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.09 : 3,453.45 = 741.58 : x
  2. Step 2: Convert to fraction form
    2,302.09/3,453.45 = 741.58/x
  3. Step 3: Cross multiply
    2,302.09x = 3,453.45 × 741.58
  4. Step 4: Simplify right side
    2,302.09x = 2,561,009.45
  5. Step 5: Solve for x
    x = 2,561,009.45/2,302.09
  6. Step 6: Final answer
    x = 1,112.47

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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.