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Finding the Fourth Proportional to 2,575.64, 3,863.42 and 627.84

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Solution

The fourth proportional to 2,575.64, 3,863.42 and 627.84 is: 941.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.64 : 3,863.42 = 627.84 : x
  2. Step 2: Convert to fraction form
    2,575.64/3,863.42 = 627.84/x
  3. Step 3: Cross multiply
    2,575.64x = 3,863.42 × 627.84
  4. Step 4: Simplify right side
    2,575.64x = 2,425,609.61
  5. Step 5: Solve for x
    x = 2,425,609.61/2,575.64
  6. Step 6: Final answer
    x = 941.75

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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.