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Finding the Fourth Proportional to 1,440.50, 1,987.89 and 819.54

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Solution

The fourth proportional to 1,440.50, 1,987.89 and 819.54 is: 1,130.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.50 : 1,987.89 = 819.54 : x
  2. Step 2: Convert to fraction form
    1,440.50/1,987.89 = 819.54/x
  3. Step 3: Cross multiply
    1,440.50x = 1,987.89 × 819.54
  4. Step 4: Simplify right side
    1,440.50x = 1,629,155.37
  5. Step 5: Solve for x
    x = 1,629,155.37/1,440.50
  6. Step 6: Final answer
    x = 1,130.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.