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Finding the Fourth Proportional to 1,990.42, 2,983.70 and 757.48

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Solution

The fourth proportional to 1,990.42, 2,983.70 and 757.48 is: 1,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.42 : 2,983.70 = 757.48 : x
  2. Step 2: Convert to fraction form
    1,990.42/2,983.70 = 757.48/x
  3. Step 3: Cross multiply
    1,990.42x = 2,983.70 × 757.48
  4. Step 4: Simplify right side
    1,990.42x = 2,260,093.08
  5. Step 5: Solve for x
    x = 2,260,093.08/1,990.42
  6. Step 6: Final answer
    x = 1,135.49

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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.