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Finding the Fourth Proportional to 3,080.56, 4,620.90 and 772

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Solution

The fourth proportional to 3,080.56, 4,620.90 and 772 is: 1,158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.56 : 4,620.90 = 772 : x
  2. Step 2: Convert to fraction form
    3,080.56/4,620.90 = 772/x
  3. Step 3: Cross multiply
    3,080.56x = 4,620.90 × 772
  4. Step 4: Simplify right side
    3,080.56x = 3,567,334.80
  5. Step 5: Solve for x
    x = 3,567,334.80/3,080.56
  6. Step 6: Final answer
    x = 1,158.02

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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.