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Finding the Fourth Proportional to 627.76, 942.54 and 353.80

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Solution

The fourth proportional to 627.76, 942.54 and 353.80 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 942.54 = 353.80 : x
  2. Step 2: Convert to fraction form
    627.76/942.54 = 353.80/x
  3. Step 3: Cross multiply
    627.76x = 942.54 × 353.80
  4. Step 4: Simplify right side
    627.76x = 333,470.65
  5. Step 5: Solve for x
    x = 333,470.65/627.76
  6. Step 6: Final answer
    x = 531.21

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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.