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Finding the Fourth Proportional to 1,990.06, 2,983.93 and 757.55

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Solution

The fourth proportional to 1,990.06, 2,983.93 and 757.55 is: 1,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.06 : 2,983.93 = 757.55 : x
  2. Step 2: Convert to fraction form
    1,990.06/2,983.93 = 757.55/x
  3. Step 3: Cross multiply
    1,990.06x = 2,983.93 × 757.55
  4. Step 4: Simplify right side
    1,990.06x = 2,260,481.74
  5. Step 5: Solve for x
    x = 2,260,481.74/1,990.06
  6. Step 6: Final answer
    x = 1,135.89

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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.