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Finding the Fourth Proportional to 1,399.54, 2,099.30 and 359.54

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Solution

The fourth proportional to 1,399.54, 2,099.30 and 359.54 is: 539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.54 : 2,099.30 = 359.54 : x
  2. Step 2: Convert to fraction form
    1,399.54/2,099.30 = 359.54/x
  3. Step 3: Cross multiply
    1,399.54x = 2,099.30 × 359.54
  4. Step 4: Simplify right side
    1,399.54x = 754,782.32
  5. Step 5: Solve for x
    x = 754,782.32/1,399.54
  6. Step 6: Final answer
    x = 539.31

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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.