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Finding the Fourth Proportional to 1,599.75, 2,399.72 and 445.59

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Solution

The fourth proportional to 1,599.75, 2,399.72 and 445.59 is: 668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.75 : 2,399.72 = 445.59 : x
  2. Step 2: Convert to fraction form
    1,599.75/2,399.72 = 445.59/x
  3. Step 3: Cross multiply
    1,599.75x = 2,399.72 × 445.59
  4. Step 4: Simplify right side
    1,599.75x = 1,069,289.01
  5. Step 5: Solve for x
    x = 1,069,289.01/1,599.75
  6. Step 6: Final answer
    x = 668.41

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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.