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Finding the Fourth Proportional to 1,212.82, 1,819.50 and 347.14

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Solution

The fourth proportional to 1,212.82, 1,819.50 and 347.14 is: 520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.82 : 1,819.50 = 347.14 : x
  2. Step 2: Convert to fraction form
    1,212.82/1,819.50 = 347.14/x
  3. Step 3: Cross multiply
    1,212.82x = 1,819.50 × 347.14
  4. Step 4: Simplify right side
    1,212.82x = 631,621.23
  5. Step 5: Solve for x
    x = 631,621.23/1,212.82
  6. Step 6: Final answer
    x = 520.79

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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.