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Finding the Fourth Proportional to 3,255.78, 4,883.68 and 790.60

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Solution

The fourth proportional to 3,255.78, 4,883.68 and 790.60 is: 1,185.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.78 : 4,883.68 = 790.60 : x
  2. Step 2: Convert to fraction form
    3,255.78/4,883.68 = 790.60/x
  3. Step 3: Cross multiply
    3,255.78x = 4,883.68 × 790.60
  4. Step 4: Simplify right side
    3,255.78x = 3,861,037.41
  5. Step 5: Solve for x
    x = 3,861,037.41/3,255.78
  6. Step 6: Final answer
    x = 1,185.90

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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.