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Finding the Fourth Proportional to 2,042.30, 3,063.72 and 655.18

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Solution

The fourth proportional to 2,042.30, 3,063.72 and 655.18 is: 982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.30 : 3,063.72 = 655.18 : x
  2. Step 2: Convert to fraction form
    2,042.30/3,063.72 = 655.18/x
  3. Step 3: Cross multiply
    2,042.30x = 3,063.72 × 655.18
  4. Step 4: Simplify right side
    2,042.30x = 2,007,272.75
  5. Step 5: Solve for x
    x = 2,007,272.75/2,042.30
  6. Step 6: Final answer
    x = 982.85

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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.