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Finding the Fourth Proportional to 450.32, 674.58 and 423.68

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Solution

The fourth proportional to 450.32, 674.58 and 423.68 is: 634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.32 : 674.58 = 423.68 : x
  2. Step 2: Convert to fraction form
    450.32/674.58 = 423.68/x
  3. Step 3: Cross multiply
    450.32x = 674.58 × 423.68
  4. Step 4: Simplify right side
    450.32x = 285,806.05
  5. Step 5: Solve for x
    x = 285,806.05/450.32
  6. Step 6: Final answer
    x = 634.67

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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.