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Finding the Fourth Proportional to 1,324.73, 1,986.52 and 666.03

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Solution

The fourth proportional to 1,324.73, 1,986.52 and 666.03 is: 998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.73 : 1,986.52 = 666.03 : x
  2. Step 2: Convert to fraction form
    1,324.73/1,986.52 = 666.03/x
  3. Step 3: Cross multiply
    1,324.73x = 1,986.52 × 666.03
  4. Step 4: Simplify right side
    1,324.73x = 1,323,081.92
  5. Step 5: Solve for x
    x = 1,323,081.92/1,324.73
  6. Step 6: Final answer
    x = 998.76

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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.