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Finding the Fourth Proportional to 2,512.35, 3,768.75 and 663.44

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Solution

The fourth proportional to 2,512.35, 3,768.75 and 663.44 is: 995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.35 : 3,768.75 = 663.44 : x
  2. Step 2: Convert to fraction form
    2,512.35/3,768.75 = 663.44/x
  3. Step 3: Cross multiply
    2,512.35x = 3,768.75 × 663.44
  4. Step 4: Simplify right side
    2,512.35x = 2,500,339.50
  5. Step 5: Solve for x
    x = 2,500,339.50/2,512.35
  6. Step 6: Final answer
    x = 995.22

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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.