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Finding the Fourth Proportional to 2,042.48, 3,063.09 and 655.76

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Solution

The fourth proportional to 2,042.48, 3,063.09 and 655.76 is: 983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.48 : 3,063.09 = 655.76 : x
  2. Step 2: Convert to fraction form
    2,042.48/3,063.09 = 655.76/x
  3. Step 3: Cross multiply
    2,042.48x = 3,063.09 × 655.76
  4. Step 4: Simplify right side
    2,042.48x = 2,008,651.90
  5. Step 5: Solve for x
    x = 2,008,651.90/2,042.48
  6. Step 6: Final answer
    x = 983.44

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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.