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Finding the Fourth Proportional to 627.54, 941.10 and 257.25

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Solution

The fourth proportional to 627.54, 941.10 and 257.25 is: 385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.54 : 941.10 = 257.25 : x
  2. Step 2: Convert to fraction form
    627.54/941.10 = 257.25/x
  3. Step 3: Cross multiply
    627.54x = 941.10 × 257.25
  4. Step 4: Simplify right side
    627.54x = 242,097.98
  5. Step 5: Solve for x
    x = 242,097.98/627.54
  6. Step 6: Final answer
    x = 385.79

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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.