Home / 1,022.20-1,533.55-328.94

Finding the Fourth Proportional to 1,022.20, 1,533.55 and 328.94

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Solution

The fourth proportional to 1,022.20, 1,533.55 and 328.94 is: 493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.20 : 1,533.55 = 328.94 : x
  2. Step 2: Convert to fraction form
    1,022.20/1,533.55 = 328.94/x
  3. Step 3: Cross multiply
    1,022.20x = 1,533.55 × 328.94
  4. Step 4: Simplify right side
    1,022.20x = 504,443.34
  5. Step 5: Solve for x
    x = 504,443.34/1,022.20
  6. Step 6: Final answer
    x = 493.49

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Half scale
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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.