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Finding the Fourth Proportional to 1,021.92, 1,533.24 and 445.20

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Solution

The fourth proportional to 1,021.92, 1,533.24 and 445.20 is: 667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.92 : 1,533.24 = 445.20 : x
  2. Step 2: Convert to fraction form
    1,021.92/1,533.24 = 445.20/x
  3. Step 3: Cross multiply
    1,021.92x = 1,533.24 × 445.20
  4. Step 4: Simplify right side
    1,021.92x = 682,598.45
  5. Step 5: Solve for x
    x = 682,598.45/1,021.92
  6. Step 6: Final answer
    x = 667.96

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Double scale
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1.5x scale

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.