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Finding the Fourth Proportional to 1,450.41, 2,174.97 and 463.05

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Solution

The fourth proportional to 1,450.41, 2,174.97 and 463.05 is: 694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.41 : 2,174.97 = 463.05 : x
  2. Step 2: Convert to fraction form
    1,450.41/2,174.97 = 463.05/x
  3. Step 3: Cross multiply
    1,450.41x = 2,174.97 × 463.05
  4. Step 4: Simplify right side
    1,450.41x = 1,007,119.86
  5. Step 5: Solve for x
    x = 1,007,119.86/1,450.41
  6. Step 6: Final answer
    x = 694.37

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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.