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Finding the Fourth Proportional to 1,998.83, 2,998.12 and 612.04

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Solution

The fourth proportional to 1,998.83, 2,998.12 and 612.04 is: 918.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.83 : 2,998.12 = 612.04 : x
  2. Step 2: Convert to fraction form
    1,998.83/2,998.12 = 612.04/x
  3. Step 3: Cross multiply
    1,998.83x = 2,998.12 × 612.04
  4. Step 4: Simplify right side
    1,998.83x = 1,834,962.63
  5. Step 5: Solve for x
    x = 1,834,962.63/1,998.83
  6. Step 6: Final answer
    x = 918.02

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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.