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Finding the Fourth Proportional to 1,308.28, 1,805.49 and 811.18

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Solution

The fourth proportional to 1,308.28, 1,805.49 and 811.18 is: 1,119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,308.28 : 1,805.49 = 811.18 : x
  2. Step 2: Convert to fraction form
    1,308.28/1,805.49 = 811.18/x
  3. Step 3: Cross multiply
    1,308.28x = 1,805.49 × 811.18
  4. Step 4: Simplify right side
    1,308.28x = 1,464,577.38
  5. Step 5: Solve for x
    x = 1,464,577.38/1,308.28
  6. Step 6: Final answer
    x = 1,119.47

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.