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Finding the Fourth Proportional to 2,190.69, 3,286.50 and 630.68

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Solution

The fourth proportional to 2,190.69, 3,286.50 and 630.68 is: 946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.69 : 3,286.50 = 630.68 : x
  2. Step 2: Convert to fraction form
    2,190.69/3,286.50 = 630.68/x
  3. Step 3: Cross multiply
    2,190.69x = 3,286.50 × 630.68
  4. Step 4: Simplify right side
    2,190.69x = 2,072,729.82
  5. Step 5: Solve for x
    x = 2,072,729.82/2,190.69
  6. Step 6: Final answer
    x = 946.15

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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.