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Finding the Fourth Proportional to 3,080.33, 4,620.50 and 771.83

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Solution

The fourth proportional to 3,080.33, 4,620.50 and 771.83 is: 1,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.33 : 4,620.50 = 771.83 : x
  2. Step 2: Convert to fraction form
    3,080.33/4,620.50 = 771.83/x
  3. Step 3: Cross multiply
    3,080.33x = 4,620.50 × 771.83
  4. Step 4: Simplify right side
    3,080.33x = 3,566,233.77
  5. Step 5: Solve for x
    x = 3,566,233.77/3,080.33
  6. Step 6: Final answer
    x = 1,157.74

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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.