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Finding the Fourth Proportional to 1,324.28, 1,983.78 and 803.99

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Solution

The fourth proportional to 1,324.28, 1,983.78 and 803.99 is: 1,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.28 : 1,983.78 = 803.99 : x
  2. Step 2: Convert to fraction form
    1,324.28/1,983.78 = 803.99/x
  3. Step 3: Cross multiply
    1,324.28x = 1,983.78 × 803.99
  4. Step 4: Simplify right side
    1,324.28x = 1,594,929.36
  5. Step 5: Solve for x
    x = 1,594,929.36/1,324.28
  6. Step 6: Final answer
    x = 1,204.38

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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.