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Finding the Fourth Proportional to 627.86, 939.57 and 408.35

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Solution

The fourth proportional to 627.86, 939.57 and 408.35 is: 611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.86 : 939.57 = 408.35 : x
  2. Step 2: Convert to fraction form
    627.86/939.57 = 408.35/x
  3. Step 3: Cross multiply
    627.86x = 939.57 × 408.35
  4. Step 4: Simplify right side
    627.86x = 383,674.23
  5. Step 5: Solve for x
    x = 383,674.23/627.86
  6. Step 6: Final answer
    x = 611.08

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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.