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Finding the Fourth Proportional to 2,604.78, 3,907.13 and 656.97

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Solution

The fourth proportional to 2,604.78, 3,907.13 and 656.97 is: 985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.78 : 3,907.13 = 656.97 : x
  2. Step 2: Convert to fraction form
    2,604.78/3,907.13 = 656.97/x
  3. Step 3: Cross multiply
    2,604.78x = 3,907.13 × 656.97
  4. Step 4: Simplify right side
    2,604.78x = 2,566,844.38
  5. Step 5: Solve for x
    x = 2,566,844.38/2,604.78
  6. Step 6: Final answer
    x = 985.44

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1.5x scale

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.