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Finding the Fourth Proportional to 450.11, 678.23 and 370.73

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Solution

The fourth proportional to 450.11, 678.23 and 370.73 is: 558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.11 : 678.23 = 370.73 : x
  2. Step 2: Convert to fraction form
    450.11/678.23 = 370.73/x
  3. Step 3: Cross multiply
    450.11x = 678.23 × 370.73
  4. Step 4: Simplify right side
    450.11x = 251,440.21
  5. Step 5: Solve for x
    x = 251,440.21/450.11
  6. Step 6: Final answer
    x = 558.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.