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Finding the Fourth Proportional to 2,270.88, 3,406.39 and 627.55

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Solution

The fourth proportional to 2,270.88, 3,406.39 and 627.55 is: 941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.88 : 3,406.39 = 627.55 : x
  2. Step 2: Convert to fraction form
    2,270.88/3,406.39 = 627.55/x
  3. Step 3: Cross multiply
    2,270.88x = 3,406.39 × 627.55
  4. Step 4: Simplify right side
    2,270.88x = 2,137,671.53
  5. Step 5: Solve for x
    x = 2,137,671.53/2,270.88
  6. Step 6: Final answer
    x = 941.34

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1.5x scale

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.