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Finding the Fourth Proportional to 450.23, 676.70 and 440.66

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Solution

The fourth proportional to 450.23, 676.70 and 440.66 is: 662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.23 : 676.70 = 440.66 : x
  2. Step 2: Convert to fraction form
    450.23/676.70 = 440.66/x
  3. Step 3: Cross multiply
    450.23x = 676.70 × 440.66
  4. Step 4: Simplify right side
    450.23x = 298,189.04
  5. Step 5: Solve for x
    x = 298,189.04/450.23
  6. Step 6: Final answer
    x = 662.31

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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.