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Finding the Fourth Proportional to 626.57, 940.10 and 279.66

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Solution

The fourth proportional to 626.57, 940.10 and 279.66 is: 419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.57 : 940.10 = 279.66 : x
  2. Step 2: Convert to fraction form
    626.57/940.10 = 279.66/x
  3. Step 3: Cross multiply
    626.57x = 940.10 × 279.66
  4. Step 4: Simplify right side
    626.57x = 262,906.97
  5. Step 5: Solve for x
    x = 262,906.97/626.57
  6. Step 6: Final answer
    x = 419.60

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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.