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Finding the Fourth Proportional to 461.82, 690.03 and 445.67

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Solution

The fourth proportional to 461.82, 690.03 and 445.67 is: 665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.82 : 690.03 = 445.67 : x
  2. Step 2: Convert to fraction form
    461.82/690.03 = 445.67/x
  3. Step 3: Cross multiply
    461.82x = 690.03 × 445.67
  4. Step 4: Simplify right side
    461.82x = 307,524.87
  5. Step 5: Solve for x
    x = 307,524.87/461.82
  6. Step 6: Final answer
    x = 665.90

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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.