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Finding the Fourth Proportional to 662.95, 992.25 and 489.54

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Solution

The fourth proportional to 662.95, 992.25 and 489.54 is: 732.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.95 : 992.25 = 489.54 : x
  2. Step 2: Convert to fraction form
    662.95/992.25 = 489.54/x
  3. Step 3: Cross multiply
    662.95x = 992.25 × 489.54
  4. Step 4: Simplify right side
    662.95x = 485,749.79
  5. Step 5: Solve for x
    x = 485,749.79/662.95
  6. Step 6: Final answer
    x = 732.71

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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.