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Finding the Fourth Proportional to 662.33, 993.96 and 657.21

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Solution

The fourth proportional to 662.33, 993.96 and 657.21 is: 986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.33 : 993.96 = 657.21 : x
  2. Step 2: Convert to fraction form
    662.33/993.96 = 657.21/x
  3. Step 3: Cross multiply
    662.33x = 993.96 × 657.21
  4. Step 4: Simplify right side
    662.33x = 653,232.20
  5. Step 5: Solve for x
    x = 653,232.20/662.33
  6. Step 6: Final answer
    x = 986.26

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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.