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Finding the Fourth Proportional to 1,999.74, 3,000.06 and 683.58

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Solution

The fourth proportional to 1,999.74, 3,000.06 and 683.58 is: 1,025.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.74 : 3,000.06 = 683.58 : x
  2. Step 2: Convert to fraction form
    1,999.74/3,000.06 = 683.58/x
  3. Step 3: Cross multiply
    1,999.74x = 3,000.06 × 683.58
  4. Step 4: Simplify right side
    1,999.74x = 2,050,781.01
  5. Step 5: Solve for x
    x = 2,050,781.01/1,999.74
  6. Step 6: Final answer
    x = 1,025.52

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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.