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Finding the Fourth Proportional to 433.44, 645.07 and 418.86

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Solution

The fourth proportional to 433.44, 645.07 and 418.86 is: 623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.44 : 645.07 = 418.86 : x
  2. Step 2: Convert to fraction form
    433.44/645.07 = 418.86/x
  3. Step 3: Cross multiply
    433.44x = 645.07 × 418.86
  4. Step 4: Simplify right side
    433.44x = 270,194.02
  5. Step 5: Solve for x
    x = 270,194.02/433.44
  6. Step 6: Final answer
    x = 623.37

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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.