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Finding the Fourth Proportional to 2,302.63, 3,453.46 and 742.78

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Solution

The fourth proportional to 2,302.63, 3,453.46 and 742.78 is: 1,114.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302.63 : 3,453.46 = 742.78 : x
  2. Step 2: Convert to fraction form
    2,302.63/3,453.46 = 742.78/x
  3. Step 3: Cross multiply
    2,302.63x = 3,453.46 × 742.78
  4. Step 4: Simplify right side
    2,302.63x = 2,565,161.02
  5. Step 5: Solve for x
    x = 2,565,161.02/2,302.63
  6. Step 6: Final answer
    x = 1,114.01

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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.