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Finding the Fourth Proportional to 627.51, 940.42 and 298.40

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Solution

The fourth proportional to 627.51, 940.42 and 298.40 is: 447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.51 : 940.42 = 298.40 : x
  2. Step 2: Convert to fraction form
    627.51/940.42 = 298.40/x
  3. Step 3: Cross multiply
    627.51x = 940.42 × 298.40
  4. Step 4: Simplify right side
    627.51x = 280,620.61
  5. Step 5: Solve for x
    x = 280,620.61/627.51
  6. Step 6: Final answer
    x = 447.19

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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.