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Finding the Fourth Proportional to 2,648.52, 3,972.78 and 774.59

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Solution

The fourth proportional to 2,648.52, 3,972.78 and 774.59 is: 1,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.52 : 3,972.78 = 774.59 : x
  2. Step 2: Convert to fraction form
    2,648.52/3,972.78 = 774.59/x
  3. Step 3: Cross multiply
    2,648.52x = 3,972.78 × 774.59
  4. Step 4: Simplify right side
    2,648.52x = 3,077,255.80
  5. Step 5: Solve for x
    x = 3,077,255.80/2,648.52
  6. Step 6: Final answer
    x = 1,161.88

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Similar ratio
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1.5x scale

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.