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Finding the Fourth Proportional to 1,213.80, 1,819.86 and 619.67

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Solution

The fourth proportional to 1,213.80, 1,819.86 and 619.67 is: 929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.80 : 1,819.86 = 619.67 : x
  2. Step 2: Convert to fraction form
    1,213.80/1,819.86 = 619.67/x
  3. Step 3: Cross multiply
    1,213.80x = 1,819.86 × 619.67
  4. Step 4: Simplify right side
    1,213.80x = 1,127,709.21
  5. Step 5: Solve for x
    x = 1,127,709.21/1,213.80
  6. Step 6: Final answer
    x = 929.07

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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.