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Finding the Fourth Proportional to 627.46, 865.90 and 347.74

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Solution

The fourth proportional to 627.46, 865.90 and 347.74 is: 479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.46 : 865.90 = 347.74 : x
  2. Step 2: Convert to fraction form
    627.46/865.90 = 347.74/x
  3. Step 3: Cross multiply
    627.46x = 865.90 × 347.74
  4. Step 4: Simplify right side
    627.46x = 301,107.20
  5. Step 5: Solve for x
    x = 301,107.20/627.46
  6. Step 6: Final answer
    x = 479.88

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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.