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Finding the Fourth Proportional to 1,098.14, 1,646.06 and 481.33

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Solution

The fourth proportional to 1,098.14, 1,646.06 and 481.33 is: 721.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.14 : 1,646.06 = 481.33 : x
  2. Step 2: Convert to fraction form
    1,098.14/1,646.06 = 481.33/x
  3. Step 3: Cross multiply
    1,098.14x = 1,646.06 × 481.33
  4. Step 4: Simplify right side
    1,098.14x = 792,294.73
  5. Step 5: Solve for x
    x = 792,294.73/1,098.14
  6. Step 6: Final answer
    x = 721.49

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Double scale
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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.