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Finding the Fourth Proportional to 2,577.02, 3,865.50 and 629.22

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Solution

The fourth proportional to 2,577.02, 3,865.50 and 629.22 is: 943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.02 : 3,865.50 = 629.22 : x
  2. Step 2: Convert to fraction form
    2,577.02/3,865.50 = 629.22/x
  3. Step 3: Cross multiply
    2,577.02x = 3,865.50 × 629.22
  4. Step 4: Simplify right side
    2,577.02x = 2,432,249.91
  5. Step 5: Solve for x
    x = 2,432,249.91/2,577.02
  6. Step 6: Final answer
    x = 943.82

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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.