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Finding the Fourth Proportional to 1,434.44, 2,151.66 and 408.44

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Solution

The fourth proportional to 1,434.44, 2,151.66 and 408.44 is: 612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.44 : 2,151.66 = 408.44 : x
  2. Step 2: Convert to fraction form
    1,434.44/2,151.66 = 408.44/x
  3. Step 3: Cross multiply
    1,434.44x = 2,151.66 × 408.44
  4. Step 4: Simplify right side
    1,434.44x = 878,824.01
  5. Step 5: Solve for x
    x = 878,824.01/1,434.44
  6. Step 6: Final answer
    x = 612.66

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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.