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Finding the Fourth Proportional to 627.72, 942.30 and 381.30

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Solution

The fourth proportional to 627.72, 942.30 and 381.30 is: 572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.72 : 942.30 = 381.30 : x
  2. Step 2: Convert to fraction form
    627.72/942.30 = 381.30/x
  3. Step 3: Cross multiply
    627.72x = 942.30 × 381.30
  4. Step 4: Simplify right side
    627.72x = 359,298.99
  5. Step 5: Solve for x
    x = 359,298.99/627.72
  6. Step 6: Final answer
    x = 572.39

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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.