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Finding the Fourth Proportional to 627.90, 940.62 and 410.82

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Solution

The fourth proportional to 627.90, 940.62 and 410.82 is: 615.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.90 : 940.62 = 410.82 : x
  2. Step 2: Convert to fraction form
    627.90/940.62 = 410.82/x
  3. Step 3: Cross multiply
    627.90x = 940.62 × 410.82
  4. Step 4: Simplify right side
    627.90x = 386,425.51
  5. Step 5: Solve for x
    x = 386,425.51/627.90
  6. Step 6: Final answer
    x = 615.43

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