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Finding the Fourth Proportional to 627.91, 865.74 and 480.31

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Solution

The fourth proportional to 627.91, 865.74 and 480.31 is: 662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.91 : 865.74 = 480.31 : x
  2. Step 2: Convert to fraction form
    627.91/865.74 = 480.31/x
  3. Step 3: Cross multiply
    627.91x = 865.74 × 480.31
  4. Step 4: Simplify right side
    627.91x = 415,823.58
  5. Step 5: Solve for x
    x = 415,823.58/627.91
  6. Step 6: Final answer
    x = 662.23

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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.