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Finding the Fourth Proportional to 1,980.75, 2,971.50 and 664.47

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Solution

The fourth proportional to 1,980.75, 2,971.50 and 664.47 is: 996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.75 : 2,971.50 = 664.47 : x
  2. Step 2: Convert to fraction form
    1,980.75/2,971.50 = 664.47/x
  3. Step 3: Cross multiply
    1,980.75x = 2,971.50 × 664.47
  4. Step 4: Simplify right side
    1,980.75x = 1,974,472.61
  5. Step 5: Solve for x
    x = 1,974,472.61/1,980.75
  6. Step 6: Final answer
    x = 996.83

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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.