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Finding the Fourth Proportional to 1,999.30, 2,999.31 and 612.62

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Solution

The fourth proportional to 1,999.30, 2,999.31 and 612.62 is: 919.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,999.30 : 2,999.31 = 612.62 : x
  2. Step 2: Convert to fraction form
    1,999.30/2,999.31 = 612.62/x
  3. Step 3: Cross multiply
    1,999.30x = 2,999.31 × 612.62
  4. Step 4: Simplify right side
    1,999.30x = 1,837,437.29
  5. Step 5: Solve for x
    x = 1,837,437.29/1,999.30
  6. Step 6: Final answer
    x = 919.04

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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.