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Finding the Fourth Proportional to 1,101.69, 1,651.51 and 408.19

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Solution

The fourth proportional to 1,101.69, 1,651.51 and 408.19 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.69 : 1,651.51 = 408.19 : x
  2. Step 2: Convert to fraction form
    1,101.69/1,651.51 = 408.19/x
  3. Step 3: Cross multiply
    1,101.69x = 1,651.51 × 408.19
  4. Step 4: Simplify right side
    1,101.69x = 674,129.87
  5. Step 5: Solve for x
    x = 674,129.87/1,101.69
  6. Step 6: Final answer
    x = 611.91

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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.