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Finding the Fourth Proportional to 2,042.78, 3,064.43 and 655.65

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Solution

The fourth proportional to 2,042.78, 3,064.43 and 655.65 is: 983.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.78 : 3,064.43 = 655.65 : x
  2. Step 2: Convert to fraction form
    2,042.78/3,064.43 = 655.65/x
  3. Step 3: Cross multiply
    2,042.78x = 3,064.43 × 655.65
  4. Step 4: Simplify right side
    2,042.78x = 2,009,195.17
  5. Step 5: Solve for x
    x = 2,009,195.17/2,042.78
  6. Step 6: Final answer
    x = 983.56

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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.