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Finding the Fourth Proportional to 1,324.65, 1,983.78 and 664.46

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Solution

The fourth proportional to 1,324.65, 1,983.78 and 664.46 is: 995.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.65 : 1,983.78 = 664.46 : x
  2. Step 2: Convert to fraction form
    1,324.65/1,983.78 = 664.46/x
  3. Step 3: Cross multiply
    1,324.65x = 1,983.78 × 664.46
  4. Step 4: Simplify right side
    1,324.65x = 1,318,132.54
  5. Step 5: Solve for x
    x = 1,318,132.54/1,324.65
  6. Step 6: Final answer
    x = 995.08

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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.