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Finding the Fourth Proportional to 2,399.44, 3,598.62 and 668.20

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Solution

The fourth proportional to 2,399.44, 3,598.62 and 668.20 is: 1,002.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.44 : 3,598.62 = 668.20 : x
  2. Step 2: Convert to fraction form
    2,399.44/3,598.62 = 668.20/x
  3. Step 3: Cross multiply
    2,399.44x = 3,598.62 × 668.20
  4. Step 4: Simplify right side
    2,399.44x = 2,404,597.88
  5. Step 5: Solve for x
    x = 2,404,597.88/2,399.44
  6. Step 6: Final answer
    x = 1,002.15

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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.