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Finding the Fourth Proportional to 629.80, 857.47 and 627.85

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Solution

The fourth proportional to 629.80, 857.47 and 627.85 is: 854.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.80 : 857.47 = 627.85 : x
  2. Step 2: Convert to fraction form
    629.80/857.47 = 627.85/x
  3. Step 3: Cross multiply
    629.80x = 857.47 × 627.85
  4. Step 4: Simplify right side
    629.80x = 538,362.54
  5. Step 5: Solve for x
    x = 538,362.54/629.80
  6. Step 6: Final answer
    x = 854.82

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.