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Finding the Fourth Proportional to 625.88, 937.82 and 419.69

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Solution

The fourth proportional to 625.88, 937.82 and 419.69 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.88 : 937.82 = 419.69 : x
  2. Step 2: Convert to fraction form
    625.88/937.82 = 419.69/x
  3. Step 3: Cross multiply
    625.88x = 937.82 × 419.69
  4. Step 4: Simplify right side
    625.88x = 393,586.89
  5. Step 5: Solve for x
    x = 393,586.89/625.88
  6. Step 6: Final answer
    x = 628.86

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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.