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Finding the Fourth Proportional to 627.40, 866.18 and 378.80

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Solution

The fourth proportional to 627.40, 866.18 and 378.80 is: 522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.40 : 866.18 = 378.80 : x
  2. Step 2: Convert to fraction form
    627.40/866.18 = 378.80/x
  3. Step 3: Cross multiply
    627.40x = 866.18 × 378.80
  4. Step 4: Simplify right side
    627.40x = 328,108.98
  5. Step 5: Solve for x
    x = 328,108.98/627.40
  6. Step 6: Final answer
    x = 522.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.