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Finding the Fourth Proportional to 2,015.58, 3,023.98 and 629.06

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Solution

The fourth proportional to 2,015.58, 3,023.98 and 629.06 is: 943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.58 : 3,023.98 = 629.06 : x
  2. Step 2: Convert to fraction form
    2,015.58/3,023.98 = 629.06/x
  3. Step 3: Cross multiply
    2,015.58x = 3,023.98 × 629.06
  4. Step 4: Simplify right side
    2,015.58x = 1,902,261.71
  5. Step 5: Solve for x
    x = 1,902,261.71/2,015.58
  6. Step 6: Final answer
    x = 943.78

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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.