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Finding the Fourth Proportional to 850.23, 1,173.33 and 820.80

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Solution

The fourth proportional to 850.23, 1,173.33 and 820.80 is: 1,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.23 : 1,173.33 = 820.80 : x
  2. Step 2: Convert to fraction form
    850.23/1,173.33 = 820.80/x
  3. Step 3: Cross multiply
    850.23x = 1,173.33 × 820.80
  4. Step 4: Simplify right side
    850.23x = 963,069.26
  5. Step 5: Solve for x
    x = 963,069.26/850.23
  6. Step 6: Final answer
    x = 1,132.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.