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Finding the Fourth Proportional to 2,270.75, 3,406.10 and 627.26

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Solution

The fourth proportional to 2,270.75, 3,406.10 and 627.26 is: 940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.75 : 3,406.10 = 627.26 : x
  2. Step 2: Convert to fraction form
    2,270.75/3,406.10 = 627.26/x
  3. Step 3: Cross multiply
    2,270.75x = 3,406.10 × 627.26
  4. Step 4: Simplify right side
    2,270.75x = 2,136,515.66
  5. Step 5: Solve for x
    x = 2,136,515.66/2,270.75
  6. Step 6: Final answer
    x = 940.88

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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.