Home / 1,022.28-1,533.42-445.02

Finding the Fourth Proportional to 1,022.28, 1,533.42 and 445.02

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Solution

The fourth proportional to 1,022.28, 1,533.42 and 445.02 is: 667.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.28 : 1,533.42 = 445.02 : x
  2. Step 2: Convert to fraction form
    1,022.28/1,533.42 = 445.02/x
  3. Step 3: Cross multiply
    1,022.28x = 1,533.42 × 445.02
  4. Step 4: Simplify right side
    1,022.28x = 682,402.57
  5. Step 5: Solve for x
    x = 682,402.57/1,022.28
  6. Step 6: Final answer
    x = 667.53

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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.