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Finding the Fourth Proportional to 662.78, 994.20 and 547.01

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Solution

The fourth proportional to 662.78, 994.20 and 547.01 is: 820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.78 : 994.20 = 547.01 : x
  2. Step 2: Convert to fraction form
    662.78/994.20 = 547.01/x
  3. Step 3: Cross multiply
    662.78x = 994.20 × 547.01
  4. Step 4: Simplify right side
    662.78x = 543,837.34
  5. Step 5: Solve for x
    x = 543,837.34/662.78
  6. Step 6: Final answer
    x = 820.54

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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.