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Finding the Fourth Proportional to 2,605.19, 3,907.43 and 657.28

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Solution

The fourth proportional to 2,605.19, 3,907.43 and 657.28 is: 985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.19 : 3,907.43 = 657.28 : x
  2. Step 2: Convert to fraction form
    2,605.19/3,907.43 = 657.28/x
  3. Step 3: Cross multiply
    2,605.19x = 3,907.43 × 657.28
  4. Step 4: Simplify right side
    2,605.19x = 2,568,252.77
  5. Step 5: Solve for x
    x = 2,568,252.77/2,605.19
  6. Step 6: Final answer
    x = 985.82

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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.