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Finding the Fourth Proportional to 627.54, 940.83 and 262.09

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Solution

The fourth proportional to 627.54, 940.83 and 262.09 is: 392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.54 : 940.83 = 262.09 : x
  2. Step 2: Convert to fraction form
    627.54/940.83 = 262.09/x
  3. Step 3: Cross multiply
    627.54x = 940.83 × 262.09
  4. Step 4: Simplify right side
    627.54x = 246,582.13
  5. Step 5: Solve for x
    x = 246,582.13/627.54
  6. Step 6: Final answer
    x = 392.93

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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.