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Finding the Fourth Proportional to 1,383.34, 2,074.39 and 733.93

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Solution

The fourth proportional to 1,383.34, 2,074.39 and 733.93 is: 1,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.34 : 2,074.39 = 733.93 : x
  2. Step 2: Convert to fraction form
    1,383.34/2,074.39 = 733.93/x
  3. Step 3: Cross multiply
    1,383.34x = 2,074.39 × 733.93
  4. Step 4: Simplify right side
    1,383.34x = 1,522,457.05
  5. Step 5: Solve for x
    x = 1,522,457.05/1,383.34
  6. Step 6: Final answer
    x = 1,100.57

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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.