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Finding the Fourth Proportional to 850.34, 1,275.71 and 330.35

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Solution

The fourth proportional to 850.34, 1,275.71 and 330.35 is: 495.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,275.71 = 330.35 : x
  2. Step 2: Convert to fraction form
    850.34/1,275.71 = 330.35/x
  3. Step 3: Cross multiply
    850.34x = 1,275.71 × 330.35
  4. Step 4: Simplify right side
    850.34x = 421,427.55
  5. Step 5: Solve for x
    x = 421,427.55/850.34
  6. Step 6: Final answer
    x = 495.60

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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.