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Finding the Fourth Proportional to 2,605.03, 3,907.50 and 657.22

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Solution

The fourth proportional to 2,605.03, 3,907.50 and 657.22 is: 985.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.03 : 3,907.50 = 657.22 : x
  2. Step 2: Convert to fraction form
    2,605.03/3,907.50 = 657.22/x
  3. Step 3: Cross multiply
    2,605.03x = 3,907.50 × 657.22
  4. Step 4: Simplify right side
    2,605.03x = 2,568,067.61
  5. Step 5: Solve for x
    x = 2,568,067.61/2,605.03
  6. Step 6: Final answer
    x = 985.81

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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.