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Finding the Fourth Proportional to 445.41, 666.90 and 401.67

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Solution

The fourth proportional to 445.41, 666.90 and 401.67 is: 601.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.41 : 666.90 = 401.67 : x
  2. Step 2: Convert to fraction form
    445.41/666.90 = 401.67/x
  3. Step 3: Cross multiply
    445.41x = 666.90 × 401.67
  4. Step 4: Simplify right side
    445.41x = 267,873.72
  5. Step 5: Solve for x
    x = 267,873.72/445.41
  6. Step 6: Final answer
    x = 601.41

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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.