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Finding the Fourth Proportional to 2,015.56, 3,023.29 and 628.86

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Solution

The fourth proportional to 2,015.56, 3,023.29 and 628.86 is: 943.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.56 : 3,023.29 = 628.86 : x
  2. Step 2: Convert to fraction form
    2,015.56/3,023.29 = 628.86/x
  3. Step 3: Cross multiply
    2,015.56x = 3,023.29 × 628.86
  4. Step 4: Simplify right side
    2,015.56x = 1,901,238.27
  5. Step 5: Solve for x
    x = 1,901,238.27/2,015.56
  6. Step 6: Final answer
    x = 943.28

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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.