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Finding the Fourth Proportional to 1,022.21, 1,533.28 and 328.92

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Solution

The fourth proportional to 1,022.21, 1,533.28 and 328.92 is: 493.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.21 : 1,533.28 = 328.92 : x
  2. Step 2: Convert to fraction form
    1,022.21/1,533.28 = 328.92/x
  3. Step 3: Cross multiply
    1,022.21x = 1,533.28 × 328.92
  4. Step 4: Simplify right side
    1,022.21x = 504,324.81
  5. Step 5: Solve for x
    x = 504,324.81/1,022.21
  6. Step 6: Final answer
    x = 493.37

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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.