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Finding the Fourth Proportional to 2,577.56, 3,866.28 and 629.78

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Solution

The fourth proportional to 2,577.56, 3,866.28 and 629.78 is: 944.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.56 : 3,866.28 = 629.78 : x
  2. Step 2: Convert to fraction form
    2,577.56/3,866.28 = 629.78/x
  3. Step 3: Cross multiply
    2,577.56x = 3,866.28 × 629.78
  4. Step 4: Simplify right side
    2,577.56x = 2,434,905.82
  5. Step 5: Solve for x
    x = 2,434,905.82/2,577.56
  6. Step 6: Final answer
    x = 944.66

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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.