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Finding the Fourth Proportional to 447.53, 668.22 and 400.95

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Solution

The fourth proportional to 447.53, 668.22 and 400.95 is: 598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.53 : 668.22 = 400.95 : x
  2. Step 2: Convert to fraction form
    447.53/668.22 = 400.95/x
  3. Step 3: Cross multiply
    447.53x = 668.22 × 400.95
  4. Step 4: Simplify right side
    447.53x = 267,922.81
  5. Step 5: Solve for x
    x = 267,922.81/447.53
  6. Step 6: Final answer
    x = 598.67

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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.