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Finding the Fourth Proportional to 1,101.35, 1,651.60 and 321.09

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Solution

The fourth proportional to 1,101.35, 1,651.60 and 321.09 is: 481.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.35 : 1,651.60 = 321.09 : x
  2. Step 2: Convert to fraction form
    1,101.35/1,651.60 = 321.09/x
  3. Step 3: Cross multiply
    1,101.35x = 1,651.60 × 321.09
  4. Step 4: Simplify right side
    1,101.35x = 530,312.24
  5. Step 5: Solve for x
    x = 530,312.24/1,101.35
  6. Step 6: Final answer
    x = 481.51

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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.