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Finding the Fourth Proportional to 2,605.86, 3,908.78 and 657.90

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Solution

The fourth proportional to 2,605.86, 3,908.78 and 657.90 is: 986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.86 : 3,908.78 = 657.90 : x
  2. Step 2: Convert to fraction form
    2,605.86/3,908.78 = 657.90/x
  3. Step 3: Cross multiply
    2,605.86x = 3,908.78 × 657.90
  4. Step 4: Simplify right side
    2,605.86x = 2,571,583.07
  5. Step 5: Solve for x
    x = 2,571,583.07/2,605.86
  6. Step 6: Final answer
    x = 986.85

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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.