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Finding the Fourth Proportional to 465.24, 639.36 and 443.85

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Solution

The fourth proportional to 465.24, 639.36 and 443.85 is: 609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.24 : 639.36 = 443.85 : x
  2. Step 2: Convert to fraction form
    465.24/639.36 = 443.85/x
  3. Step 3: Cross multiply
    465.24x = 639.36 × 443.85
  4. Step 4: Simplify right side
    465.24x = 283,777.54
  5. Step 5: Solve for x
    x = 283,777.54/465.24
  6. Step 6: Final answer
    x = 609.95

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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.