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Finding the Fourth Proportional to 2,000.31, 2,999.84 and 665.84

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Solution

The fourth proportional to 2,000.31, 2,999.84 and 665.84 is: 998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.31 : 2,999.84 = 665.84 : x
  2. Step 2: Convert to fraction form
    2,000.31/2,999.84 = 665.84/x
  3. Step 3: Cross multiply
    2,000.31x = 2,999.84 × 665.84
  4. Step 4: Simplify right side
    2,000.31x = 1,997,395.14
  5. Step 5: Solve for x
    x = 1,997,395.14/2,000.31
  6. Step 6: Final answer
    x = 998.54

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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.