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Finding the Fourth Proportional to 662.03, 992.21 and 314.60

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Solution

The fourth proportional to 662.03, 992.21 and 314.60 is: 471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.03 : 992.21 = 314.60 : x
  2. Step 2: Convert to fraction form
    662.03/992.21 = 314.60/x
  3. Step 3: Cross multiply
    662.03x = 992.21 × 314.60
  4. Step 4: Simplify right side
    662.03x = 312,142.73
  5. Step 5: Solve for x
    x = 312,142.73/662.03
  6. Step 6: Final answer
    x = 471.50

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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.