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Finding the Fourth Proportional to 444.12, 666.72 and 421.44

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Solution

The fourth proportional to 444.12, 666.72 and 421.44 is: 632.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.12 : 666.72 = 421.44 : x
  2. Step 2: Convert to fraction form
    444.12/666.72 = 421.44/x
  3. Step 3: Cross multiply
    444.12x = 666.72 × 421.44
  4. Step 4: Simplify right side
    444.12x = 280,982.48
  5. Step 5: Solve for x
    x = 280,982.48/444.12
  6. Step 6: Final answer
    x = 632.67

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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.