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Finding the Fourth Proportional to 1,383.23, 2,074.80 and 653.33

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Solution

The fourth proportional to 1,383.23, 2,074.80 and 653.33 is: 979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.23 : 2,074.80 = 653.33 : x
  2. Step 2: Convert to fraction form
    1,383.23/2,074.80 = 653.33/x
  3. Step 3: Cross multiply
    1,383.23x = 2,074.80 × 653.33
  4. Step 4: Simplify right side
    1,383.23x = 1,355,529.08
  5. Step 5: Solve for x
    x = 1,355,529.08/1,383.23
  6. Step 6: Final answer
    x = 979.97

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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.