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Finding the Fourth Proportional to 662.33, 993.72 and 547.05

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Solution

The fourth proportional to 662.33, 993.72 and 547.05 is: 820.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.33 : 993.72 = 547.05 : x
  2. Step 2: Convert to fraction form
    662.33/993.72 = 547.05/x
  3. Step 3: Cross multiply
    662.33x = 993.72 × 547.05
  4. Step 4: Simplify right side
    662.33x = 543,617.23
  5. Step 5: Solve for x
    x = 543,617.23/662.33
  6. Step 6: Final answer
    x = 820.77

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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.