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Finding the Fourth Proportional to 2,255.72, 3,383.08 and 612.12

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Solution

The fourth proportional to 2,255.72, 3,383.08 and 612.12 is: 918.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.72 : 3,383.08 = 612.12 : x
  2. Step 2: Convert to fraction form
    2,255.72/3,383.08 = 612.12/x
  3. Step 3: Cross multiply
    2,255.72x = 3,383.08 × 612.12
  4. Step 4: Simplify right side
    2,255.72x = 2,070,850.93
  5. Step 5: Solve for x
    x = 2,070,850.93/2,255.72
  6. Step 6: Final answer
    x = 918.04

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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.