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Finding the Fourth Proportional to 2,604.88, 3,907.18 and 656.97

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Solution

The fourth proportional to 2,604.88, 3,907.18 and 656.97 is: 985.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.88 : 3,907.18 = 656.97 : x
  2. Step 2: Convert to fraction form
    2,604.88/3,907.18 = 656.97/x
  3. Step 3: Cross multiply
    2,604.88x = 3,907.18 × 656.97
  4. Step 4: Simplify right side
    2,604.88x = 2,566,900.04
  5. Step 5: Solve for x
    x = 2,566,900.04/2,604.88
  6. Step 6: Final answer
    x = 985.42

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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.