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Finding the Fourth Proportional to 627.50, 865.94 and 378.82

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Solution

The fourth proportional to 627.50, 865.94 and 378.82 is: 522.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 865.94 = 378.82 : x
  2. Step 2: Convert to fraction form
    627.50/865.94 = 378.82/x
  3. Step 3: Cross multiply
    627.50x = 865.94 × 378.82
  4. Step 4: Simplify right side
    627.50x = 328,035.39
  5. Step 5: Solve for x
    x = 328,035.39/627.50
  6. Step 6: Final answer
    x = 522.77

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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.