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Finding the Fourth Proportional to 1,144.27, 1,715.94 and 450.85

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Solution

The fourth proportional to 1,144.27, 1,715.94 and 450.85 is: 676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.27 : 1,715.94 = 450.85 : x
  2. Step 2: Convert to fraction form
    1,144.27/1,715.94 = 450.85/x
  3. Step 3: Cross multiply
    1,144.27x = 1,715.94 × 450.85
  4. Step 4: Simplify right side
    1,144.27x = 773,631.55
  5. Step 5: Solve for x
    x = 773,631.55/1,144.27
  6. Step 6: Final answer
    x = 676.09

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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.