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Finding the Fourth Proportional to 1,212.62, 1,817.84 and 664.34

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Solution

The fourth proportional to 1,212.62, 1,817.84 and 664.34 is: 995.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.62 : 1,817.84 = 664.34 : x
  2. Step 2: Convert to fraction form
    1,212.62/1,817.84 = 664.34/x
  3. Step 3: Cross multiply
    1,212.62x = 1,817.84 × 664.34
  4. Step 4: Simplify right side
    1,212.62x = 1,207,663.83
  5. Step 5: Solve for x
    x = 1,207,663.83/1,212.62
  6. Step 6: Final answer
    x = 995.91

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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.