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Finding the Fourth Proportional to 2,042.82, 3,064.41 and 655.65

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Solution

The fourth proportional to 2,042.82, 3,064.41 and 655.65 is: 983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.82 : 3,064.41 = 655.65 : x
  2. Step 2: Convert to fraction form
    2,042.82/3,064.41 = 655.65/x
  3. Step 3: Cross multiply
    2,042.82x = 3,064.41 × 655.65
  4. Step 4: Simplify right side
    2,042.82x = 2,009,180.42
  5. Step 5: Solve for x
    x = 2,009,180.42/2,042.82
  6. Step 6: Final answer
    x = 983.53

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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.