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Finding the Fourth Proportional to 443.70, 609.55 and 397.67

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Solution

The fourth proportional to 443.70, 609.55 and 397.67 is: 546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.70 : 609.55 = 397.67 : x
  2. Step 2: Convert to fraction form
    443.70/609.55 = 397.67/x
  3. Step 3: Cross multiply
    443.70x = 609.55 × 397.67
  4. Step 4: Simplify right side
    443.70x = 242,396.70
  5. Step 5: Solve for x
    x = 242,396.70/443.70
  6. Step 6: Final answer
    x = 546.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.