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Finding the Fourth Proportional to 1,328.99, 1,993.47 and 809.14

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Solution

The fourth proportional to 1,328.99, 1,993.47 and 809.14 is: 1,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.99 : 1,993.47 = 809.14 : x
  2. Step 2: Convert to fraction form
    1,328.99/1,993.47 = 809.14/x
  3. Step 3: Cross multiply
    1,328.99x = 1,993.47 × 809.14
  4. Step 4: Simplify right side
    1,328.99x = 1,612,991.33
  5. Step 5: Solve for x
    x = 1,612,991.33/1,328.99
  6. Step 6: Final answer
    x = 1,213.69

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Half scale
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Double scale
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Similar ratio
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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.