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Finding the Fourth Proportional to 846.81, 1,269.43 and 326.65

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Solution

The fourth proportional to 846.81, 1,269.43 and 326.65 is: 489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.81 : 1,269.43 = 326.65 : x
  2. Step 2: Convert to fraction form
    846.81/1,269.43 = 326.65/x
  3. Step 3: Cross multiply
    846.81x = 1,269.43 × 326.65
  4. Step 4: Simplify right side
    846.81x = 414,657.68
  5. Step 5: Solve for x
    x = 414,657.68/846.81
  6. Step 6: Final answer
    x = 489.67

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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.