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Finding the Fourth Proportional to 850.14, 1,274.70 and 388.38

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Solution

The fourth proportional to 850.14, 1,274.70 and 388.38 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.14 : 1,274.70 = 388.38 : x
  2. Step 2: Convert to fraction form
    850.14/1,274.70 = 388.38/x
  3. Step 3: Cross multiply
    850.14x = 1,274.70 × 388.38
  4. Step 4: Simplify right side
    850.14x = 495,067.99
  5. Step 5: Solve for x
    x = 495,067.99/850.14
  6. Step 6: Final answer
    x = 582.34

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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.