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Finding the Fourth Proportional to 1,383.05, 2,074.50 and 343

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Solution

The fourth proportional to 1,383.05, 2,074.50 and 343 is: 514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.05 : 2,074.50 = 343 : x
  2. Step 2: Convert to fraction form
    1,383.05/2,074.50 = 343/x
  3. Step 3: Cross multiply
    1,383.05x = 2,074.50 × 343
  4. Step 4: Simplify right side
    1,383.05x = 711,553.50
  5. Step 5: Solve for x
    x = 711,553.50/1,383.05
  6. Step 6: Final answer
    x = 514.48

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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.