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Finding the Fourth Proportional to 2,004.98, 3,005.34 and 771.85

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Solution

The fourth proportional to 2,004.98, 3,005.34 and 771.85 is: 1,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.98 : 3,005.34 = 771.85 : x
  2. Step 2: Convert to fraction form
    2,004.98/3,005.34 = 771.85/x
  3. Step 3: Cross multiply
    2,004.98x = 3,005.34 × 771.85
  4. Step 4: Simplify right side
    2,004.98x = 2,319,672.54
  5. Step 5: Solve for x
    x = 2,319,672.54/2,004.98
  6. Step 6: Final answer
    x = 1,156.96

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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.