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Finding the Fourth Proportional to 627.76, 866.38 and 348.09

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Solution

The fourth proportional to 627.76, 866.38 and 348.09 is: 480.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 866.38 = 348.09 : x
  2. Step 2: Convert to fraction form
    627.76/866.38 = 348.09/x
  3. Step 3: Cross multiply
    627.76x = 866.38 × 348.09
  4. Step 4: Simplify right side
    627.76x = 301,578.21
  5. Step 5: Solve for x
    x = 301,578.21/627.76
  6. Step 6: Final answer
    x = 480.40

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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.