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Finding the Fourth Proportional to 850.34, 1,173.01 and 547

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Solution

The fourth proportional to 850.34, 1,173.01 and 547 is: 754.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.34 : 1,173.01 = 547 : x
  2. Step 2: Convert to fraction form
    850.34/1,173.01 = 547/x
  3. Step 3: Cross multiply
    850.34x = 1,173.01 × 547
  4. Step 4: Simplify right side
    850.34x = 641,636.47
  5. Step 5: Solve for x
    x = 641,636.47/850.34
  6. Step 6: Final answer
    x = 754.56

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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.