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Finding the Fourth Proportional to 443.07, 662.38 and 396.70

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Solution

The fourth proportional to 443.07, 662.38 and 396.70 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 662.38 = 396.70 : x
  2. Step 2: Convert to fraction form
    443.07/662.38 = 396.70/x
  3. Step 3: Cross multiply
    443.07x = 662.38 × 396.70
  4. Step 4: Simplify right side
    443.07x = 262,763.50
  5. Step 5: Solve for x
    x = 262,763.50/443.07
  6. Step 6: Final answer
    x = 593.05

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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.