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Finding the Fourth Proportional to 447.02, 667.29 and 392.34

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Solution

The fourth proportional to 447.02, 667.29 and 392.34 is: 585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.02 : 667.29 = 392.34 : x
  2. Step 2: Convert to fraction form
    447.02/667.29 = 392.34/x
  3. Step 3: Cross multiply
    447.02x = 667.29 × 392.34
  4. Step 4: Simplify right side
    447.02x = 261,806.33
  5. Step 5: Solve for x
    x = 261,806.33/447.02
  6. Step 6: Final answer
    x = 585.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.