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Finding the Fourth Proportional to 2,605.69, 3,908.18 and 657.78

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Solution

The fourth proportional to 2,605.69, 3,908.18 and 657.78 is: 986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.69 : 3,908.18 = 657.78 : x
  2. Step 2: Convert to fraction form
    2,605.69/3,908.18 = 657.78/x
  3. Step 3: Cross multiply
    2,605.69x = 3,908.18 × 657.78
  4. Step 4: Simplify right side
    2,605.69x = 2,570,699.81
  5. Step 5: Solve for x
    x = 2,570,699.81/2,605.69
  6. Step 6: Final answer
    x = 986.57

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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.