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Finding the Fourth Proportional to 2,577.20, 3,865.86 and 629.44

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Solution

The fourth proportional to 2,577.20, 3,865.86 and 629.44 is: 944.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.20 : 3,865.86 = 629.44 : x
  2. Step 2: Convert to fraction form
    2,577.20/3,865.86 = 629.44/x
  3. Step 3: Cross multiply
    2,577.20x = 3,865.86 × 629.44
  4. Step 4: Simplify right side
    2,577.20x = 2,433,326.92
  5. Step 5: Solve for x
    x = 2,433,326.92/2,577.20
  6. Step 6: Final answer
    x = 944.17

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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.