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Finding the Fourth Proportional to 450.11, 675.90 and 427.02

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Solution

The fourth proportional to 450.11, 675.90 and 427.02 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.11 : 675.90 = 427.02 : x
  2. Step 2: Convert to fraction form
    450.11/675.90 = 427.02/x
  3. Step 3: Cross multiply
    450.11x = 675.90 × 427.02
  4. Step 4: Simplify right side
    450.11x = 288,622.82
  5. Step 5: Solve for x
    x = 288,622.82/450.11
  6. Step 6: Final answer
    x = 641.23

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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.