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Finding the Fourth Proportional to 850.89, 1,276.34 and 364.31

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Solution

The fourth proportional to 850.89, 1,276.34 and 364.31 is: 546.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.89 : 1,276.34 = 364.31 : x
  2. Step 2: Convert to fraction form
    850.89/1,276.34 = 364.31/x
  3. Step 3: Cross multiply
    850.89x = 1,276.34 × 364.31
  4. Step 4: Simplify right side
    850.89x = 464,975.22
  5. Step 5: Solve for x
    x = 464,975.22/850.89
  6. Step 6: Final answer
    x = 546.46

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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.