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Finding the Fourth Proportional to 1,399.75, 2,099.13 and 412.30

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Solution

The fourth proportional to 1,399.75, 2,099.13 and 412.30 is: 618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.75 : 2,099.13 = 412.30 : x
  2. Step 2: Convert to fraction form
    1,399.75/2,099.13 = 412.30/x
  3. Step 3: Cross multiply
    1,399.75x = 2,099.13 × 412.30
  4. Step 4: Simplify right side
    1,399.75x = 865,471.30
  5. Step 5: Solve for x
    x = 865,471.30/1,399.75
  6. Step 6: Final answer
    x = 618.30

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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.