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Finding the Fourth Proportional to 2,605.56, 3,908.31 and 657.75

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Solution

The fourth proportional to 2,605.56, 3,908.31 and 657.75 is: 986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.56 : 3,908.31 = 657.75 : x
  2. Step 2: Convert to fraction form
    2,605.56/3,908.31 = 657.75/x
  3. Step 3: Cross multiply
    2,605.56x = 3,908.31 × 657.75
  4. Step 4: Simplify right side
    2,605.56x = 2,570,690.90
  5. Step 5: Solve for x
    x = 2,570,690.90/2,605.56
  6. Step 6: Final answer
    x = 986.62

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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.