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Finding the Fourth Proportional to 850.04, 1,274.65 and 330.28

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Solution

The fourth proportional to 850.04, 1,274.65 and 330.28 is: 495.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.04 : 1,274.65 = 330.28 : x
  2. Step 2: Convert to fraction form
    850.04/1,274.65 = 330.28/x
  3. Step 3: Cross multiply
    850.04x = 1,274.65 × 330.28
  4. Step 4: Simplify right side
    850.04x = 420,991.40
  5. Step 5: Solve for x
    x = 420,991.40/850.04
  6. Step 6: Final answer
    x = 495.26

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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.