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Finding the Fourth Proportional to 446.50, 665.69 and 418.96

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Solution

The fourth proportional to 446.50, 665.69 and 418.96 is: 624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 665.69 = 418.96 : x
  2. Step 2: Convert to fraction form
    446.50/665.69 = 418.96/x
  3. Step 3: Cross multiply
    446.50x = 665.69 × 418.96
  4. Step 4: Simplify right side
    446.50x = 278,897.48
  5. Step 5: Solve for x
    x = 278,897.48/446.50
  6. Step 6: Final answer
    x = 624.63

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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.