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Finding the Fourth Proportional to 1,998.61, 2,996.88 and 765.86

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Solution

The fourth proportional to 1,998.61, 2,996.88 and 765.86 is: 1,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.61 : 2,996.88 = 765.86 : x
  2. Step 2: Convert to fraction form
    1,998.61/2,996.88 = 765.86/x
  3. Step 3: Cross multiply
    1,998.61x = 2,996.88 × 765.86
  4. Step 4: Simplify right side
    1,998.61x = 2,295,190.52
  5. Step 5: Solve for x
    x = 2,295,190.52/1,998.61
  6. Step 6: Final answer
    x = 1,148.39

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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.