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Finding the Fourth Proportional to 938.97, 1,409.10 and 419.55

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Solution

The fourth proportional to 938.97, 1,409.10 and 419.55 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.97 : 1,409.10 = 419.55 : x
  2. Step 2: Convert to fraction form
    938.97/1,409.10 = 419.55/x
  3. Step 3: Cross multiply
    938.97x = 1,409.10 × 419.55
  4. Step 4: Simplify right side
    938.97x = 591,187.91
  5. Step 5: Solve for x
    x = 591,187.91/938.97
  6. Step 6: Final answer
    x = 629.61

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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.