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Finding the Fourth Proportional to 627.90, 940.80 and 410.94

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Solution

The fourth proportional to 627.90, 940.80 and 410.94 is: 615.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.90 : 940.80 = 410.94 : x
  2. Step 2: Convert to fraction form
    627.90/940.80 = 410.94/x
  3. Step 3: Cross multiply
    627.90x = 940.80 × 410.94
  4. Step 4: Simplify right side
    627.90x = 386,612.35
  5. Step 5: Solve for x
    x = 386,612.35/627.90
  6. Step 6: Final answer
    x = 615.72

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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.