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Finding the Fourth Proportional to 2,577.35, 3,865.97 and 629.55

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Solution

The fourth proportional to 2,577.35, 3,865.97 and 629.55 is: 944.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.35 : 3,865.97 = 629.55 : x
  2. Step 2: Convert to fraction form
    2,577.35/3,865.97 = 629.55/x
  3. Step 3: Cross multiply
    2,577.35x = 3,865.97 × 629.55
  4. Step 4: Simplify right side
    2,577.35x = 2,433,821.41
  5. Step 5: Solve for x
    x = 2,433,821.41/2,577.35
  6. Step 6: Final answer
    x = 944.31

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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.