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Finding the Fourth Proportional to 450.08, 674.37 and 433.22

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Solution

The fourth proportional to 450.08, 674.37 and 433.22 is: 649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.08 : 674.37 = 433.22 : x
  2. Step 2: Convert to fraction form
    450.08/674.37 = 433.22/x
  3. Step 3: Cross multiply
    450.08x = 674.37 × 433.22
  4. Step 4: Simplify right side
    450.08x = 292,147.20
  5. Step 5: Solve for x
    x = 292,147.20/450.08
  6. Step 6: Final answer
    x = 649.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.