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Finding the Fourth Proportional to 627.78, 941.24 and 524.90

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Solution

The fourth proportional to 627.78, 941.24 and 524.90 is: 786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.78 : 941.24 = 524.90 : x
  2. Step 2: Convert to fraction form
    627.78/941.24 = 524.90/x
  3. Step 3: Cross multiply
    627.78x = 941.24 × 524.90
  4. Step 4: Simplify right side
    627.78x = 494,056.88
  5. Step 5: Solve for x
    x = 494,056.88/627.78
  6. Step 6: Final answer
    x = 786.99

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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.