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Finding the Fourth Proportional to 1,999.48, 2,999.31 and 612.73

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Solution

The fourth proportional to 1,999.48, 2,999.31 and 612.73 is: 919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.48 : 2,999.31 = 612.73 : x
  2. Step 2: Convert to fraction form
    1,999.48/2,999.31 = 612.73/x
  3. Step 3: Cross multiply
    1,999.48x = 2,999.31 × 612.73
  4. Step 4: Simplify right side
    1,999.48x = 1,837,767.22
  5. Step 5: Solve for x
    x = 1,837,767.22/1,999.48
  6. Step 6: Final answer
    x = 919.12

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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.