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Finding the Fourth Proportional to 627.41, 865.84 and 347.64

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Solution

The fourth proportional to 627.41, 865.84 and 347.64 is: 479.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.41 : 865.84 = 347.64 : x
  2. Step 2: Convert to fraction form
    627.41/865.84 = 347.64/x
  3. Step 3: Cross multiply
    627.41x = 865.84 × 347.64
  4. Step 4: Simplify right side
    627.41x = 300,998.88
  5. Step 5: Solve for x
    x = 300,998.88/627.41
  6. Step 6: Final answer
    x = 479.75

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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.