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Finding the Fourth Proportional to 1,635.05, 2,453.49 and 661.23

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Solution

The fourth proportional to 1,635.05, 2,453.49 and 661.23 is: 992.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.05 : 2,453.49 = 661.23 : x
  2. Step 2: Convert to fraction form
    1,635.05/2,453.49 = 661.23/x
  3. Step 3: Cross multiply
    1,635.05x = 2,453.49 × 661.23
  4. Step 4: Simplify right side
    1,635.05x = 1,622,321.19
  5. Step 5: Solve for x
    x = 1,622,321.19/1,635.05
  6. Step 6: Final answer
    x = 992.21

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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.