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Finding the Fourth Proportional to 627.14, 857.77 and 617.06

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Solution

The fourth proportional to 627.14, 857.77 and 617.06 is: 843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.14 : 857.77 = 617.06 : x
  2. Step 2: Convert to fraction form
    627.14/857.77 = 617.06/x
  3. Step 3: Cross multiply
    627.14x = 857.77 × 617.06
  4. Step 4: Simplify right side
    627.14x = 529,295.56
  5. Step 5: Solve for x
    x = 529,295.56/627.14
  6. Step 6: Final answer
    x = 843.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.