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Finding the Fourth Proportional to 627.80, 940.49 and 353.06

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Solution

The fourth proportional to 627.80, 940.49 and 353.06 is: 528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.80 : 940.49 = 353.06 : x
  2. Step 2: Convert to fraction form
    627.80/940.49 = 353.06/x
  3. Step 3: Cross multiply
    627.80x = 940.49 × 353.06
  4. Step 4: Simplify right side
    627.80x = 332,042.93
  5. Step 5: Solve for x
    x = 332,042.93/627.80
  6. Step 6: Final answer
    x = 528.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.