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Finding the Fourth Proportional to 2,051.34, 3,077.29 and 664.23

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Solution

The fourth proportional to 2,051.34, 3,077.29 and 664.23 is: 996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.34 : 3,077.29 = 664.23 : x
  2. Step 2: Convert to fraction form
    2,051.34/3,077.29 = 664.23/x
  3. Step 3: Cross multiply
    2,051.34x = 3,077.29 × 664.23
  4. Step 4: Simplify right side
    2,051.34x = 2,044,014.74
  5. Step 5: Solve for x
    x = 2,044,014.74/2,051.34
  6. Step 6: Final answer
    x = 996.43

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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.