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Finding the Fourth Proportional to 1,819.22, 2,728.56 and 586.47

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Solution

The fourth proportional to 1,819.22, 2,728.56 and 586.47 is: 879.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819.22 : 2,728.56 = 586.47 : x
  2. Step 2: Convert to fraction form
    1,819.22/2,728.56 = 586.47/x
  3. Step 3: Cross multiply
    1,819.22x = 2,728.56 × 586.47
  4. Step 4: Simplify right side
    1,819.22x = 1,600,218.58
  5. Step 5: Solve for x
    x = 1,600,218.58/1,819.22
  6. Step 6: Final answer
    x = 879.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.