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Finding the Fourth Proportional to 2,575.94, 3,863.90 and 628.13

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Solution

The fourth proportional to 2,575.94, 3,863.90 and 628.13 is: 942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.94 : 3,863.90 = 628.13 : x
  2. Step 2: Convert to fraction form
    2,575.94/3,863.90 = 628.13/x
  3. Step 3: Cross multiply
    2,575.94x = 3,863.90 × 628.13
  4. Step 4: Simplify right side
    2,575.94x = 2,427,042.74
  5. Step 5: Solve for x
    x = 2,427,042.74/2,575.94
  6. Step 6: Final answer
    x = 942.20

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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.