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Finding the Fourth Proportional to 2,005.10, 3,007.98 and 618.44

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Solution

The fourth proportional to 2,005.10, 3,007.98 and 618.44 is: 927.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.10 : 3,007.98 = 618.44 : x
  2. Step 2: Convert to fraction form
    2,005.10/3,007.98 = 618.44/x
  3. Step 3: Cross multiply
    2,005.10x = 3,007.98 × 618.44
  4. Step 4: Simplify right side
    2,005.10x = 1,860,255.15
  5. Step 5: Solve for x
    x = 1,860,255.15/2,005.10
  6. Step 6: Final answer
    x = 927.76

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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.