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Finding the Fourth Proportional to 2,080.23, 3,119.88 and 618.90

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Solution

The fourth proportional to 2,080.23, 3,119.88 and 618.90 is: 928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.23 : 3,119.88 = 618.90 : x
  2. Step 2: Convert to fraction form
    2,080.23/3,119.88 = 618.90/x
  3. Step 3: Cross multiply
    2,080.23x = 3,119.88 × 618.90
  4. Step 4: Simplify right side
    2,080.23x = 1,930,893.73
  5. Step 5: Solve for x
    x = 1,930,893.73/2,080.23
  6. Step 6: Final answer
    x = 928.21

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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.