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Finding the Fourth Proportional to 1,189.77, 1,782.94 and 819.20

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Solution

The fourth proportional to 1,189.77, 1,782.94 and 819.20 is: 1,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.77 : 1,782.94 = 819.20 : x
  2. Step 2: Convert to fraction form
    1,189.77/1,782.94 = 819.20/x
  3. Step 3: Cross multiply
    1,189.77x = 1,782.94 × 819.20
  4. Step 4: Simplify right side
    1,189.77x = 1,460,584.45
  5. Step 5: Solve for x
    x = 1,460,584.45/1,189.77
  6. Step 6: Final answer
    x = 1,227.62

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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.