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Finding the Fourth Proportional to 1,290.63, 1,936.89 and 998.88

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Solution

The fourth proportional to 1,290.63, 1,936.89 and 998.88 is: 1,499.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.63 : 1,936.89 = 998.88 : x
  2. Step 2: Convert to fraction form
    1,290.63/1,936.89 = 998.88/x
  3. Step 3: Cross multiply
    1,290.63x = 1,936.89 × 998.88
  4. Step 4: Simplify right side
    1,290.63x = 1,934,720.68
  5. Step 5: Solve for x
    x = 1,934,720.68/1,290.63
  6. Step 6: Final answer
    x = 1,499.05

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1.5x scale

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.