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Finding the Fourth Proportional to 627.03, 863.25 and 494.01

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Solution

The fourth proportional to 627.03, 863.25 and 494.01 is: 680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.03 : 863.25 = 494.01 : x
  2. Step 2: Convert to fraction form
    627.03/863.25 = 494.01/x
  3. Step 3: Cross multiply
    627.03x = 863.25 × 494.01
  4. Step 4: Simplify right side
    627.03x = 426,454.13
  5. Step 5: Solve for x
    x = 426,454.13/627.03
  6. Step 6: Final answer
    x = 680.12

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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.