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Finding the Fourth Proportional to 627.40, 938.70 and 380.68

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Solution

The fourth proportional to 627.40, 938.70 and 380.68 is: 569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 938.70 = 380.68 : x
  2. Step 2: Convert to fraction form
    627.40/938.70 = 380.68/x
  3. Step 3: Cross multiply
    627.40x = 938.70 × 380.68
  4. Step 4: Simplify right side
    627.40x = 357,344.32
  5. Step 5: Solve for x
    x = 357,344.32/627.40
  6. Step 6: Final answer
    x = 569.56

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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.