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Finding the Fourth Proportional to 1,112.78, 1,669.17 and 419.61

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Solution

The fourth proportional to 1,112.78, 1,669.17 and 419.61 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.78 : 1,669.17 = 419.61 : x
  2. Step 2: Convert to fraction form
    1,112.78/1,669.17 = 419.61/x
  3. Step 3: Cross multiply
    1,112.78x = 1,669.17 × 419.61
  4. Step 4: Simplify right side
    1,112.78x = 700,392.08
  5. Step 5: Solve for x
    x = 700,392.08/1,112.78
  6. Step 6: Final answer
    x = 629.41

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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.