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Finding the Fourth Proportional to 1,197.10, 1,794.39 and 850.42

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Solution

The fourth proportional to 1,197.10, 1,794.39 and 850.42 is: 1,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.10 : 1,794.39 = 850.42 : x
  2. Step 2: Convert to fraction form
    1,197.10/1,794.39 = 850.42/x
  3. Step 3: Cross multiply
    1,197.10x = 1,794.39 × 850.42
  4. Step 4: Simplify right side
    1,197.10x = 1,525,985.14
  5. Step 5: Solve for x
    x = 1,525,985.14/1,197.10
  6. Step 6: Final answer
    x = 1,274.73

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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.