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Finding the Fourth Proportional to 627.72, 940.21 and 383.50

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Solution

The fourth proportional to 627.72, 940.21 and 383.50 is: 574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.72 : 940.21 = 383.50 : x
  2. Step 2: Convert to fraction form
    627.72/940.21 = 383.50/x
  3. Step 3: Cross multiply
    627.72x = 940.21 × 383.50
  4. Step 4: Simplify right side
    627.72x = 360,570.75
  5. Step 5: Solve for x
    x = 360,570.75/627.72
  6. Step 6: Final answer
    x = 574.42

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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.