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Finding the Fourth Proportional to 627.84, 940.95 and 262.13

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Solution

The fourth proportional to 627.84, 940.95 and 262.13 is: 392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 940.95 = 262.13 : x
  2. Step 2: Convert to fraction form
    627.84/940.95 = 262.13/x
  3. Step 3: Cross multiply
    627.84x = 940.95 × 262.13
  4. Step 4: Simplify right side
    627.84x = 246,651.22
  5. Step 5: Solve for x
    x = 246,651.22/627.84
  6. Step 6: Final answer
    x = 392.86

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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.