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Finding the Fourth Proportional to 1,399.98, 2,099.70 and 670.44

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Solution

The fourth proportional to 1,399.98, 2,099.70 and 670.44 is: 1,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.98 : 2,099.70 = 670.44 : x
  2. Step 2: Convert to fraction form
    1,399.98/2,099.70 = 670.44/x
  3. Step 3: Cross multiply
    1,399.98x = 2,099.70 × 670.44
  4. Step 4: Simplify right side
    1,399.98x = 1,407,722.87
  5. Step 5: Solve for x
    x = 1,407,722.87/1,399.98
  6. Step 6: Final answer
    x = 1,005.53

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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.