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Finding the Fourth Proportional to 2,575.50, 3,863.26 and 627.70

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Solution

The fourth proportional to 2,575.50, 3,863.26 and 627.70 is: 941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.50 : 3,863.26 = 627.70 : x
  2. Step 2: Convert to fraction form
    2,575.50/3,863.26 = 627.70/x
  3. Step 3: Cross multiply
    2,575.50x = 3,863.26 × 627.70
  4. Step 4: Simplify right side
    2,575.50x = 2,424,968.30
  5. Step 5: Solve for x
    x = 2,424,968.30/2,575.50
  6. Step 6: Final answer
    x = 941.55

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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.