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Finding the Fourth Proportional to 625.13, 937.07 and 419.23

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Solution

The fourth proportional to 625.13, 937.07 and 419.23 is: 628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.13 : 937.07 = 419.23 : x
  2. Step 2: Convert to fraction form
    625.13/937.07 = 419.23/x
  3. Step 3: Cross multiply
    625.13x = 937.07 × 419.23
  4. Step 4: Simplify right side
    625.13x = 392,843.23
  5. Step 5: Solve for x
    x = 392,843.23/625.13
  6. Step 6: Final answer
    x = 628.42

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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.