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Finding the Fourth Proportional to 759.34, 1,137.49 and 450.27

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Solution

The fourth proportional to 759.34, 1,137.49 and 450.27 is: 674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.34 : 1,137.49 = 450.27 : x
  2. Step 2: Convert to fraction form
    759.34/1,137.49 = 450.27/x
  3. Step 3: Cross multiply
    759.34x = 1,137.49 × 450.27
  4. Step 4: Simplify right side
    759.34x = 512,177.62
  5. Step 5: Solve for x
    x = 512,177.62/759.34
  6. Step 6: Final answer
    x = 674.50

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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.