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Finding the Fourth Proportional to 1,636.37, 2,451.26 and 757.63

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Solution

The fourth proportional to 1,636.37, 2,451.26 and 757.63 is: 1,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636.37 : 2,451.26 = 757.63 : x
  2. Step 2: Convert to fraction form
    1,636.37/2,451.26 = 757.63/x
  3. Step 3: Cross multiply
    1,636.37x = 2,451.26 × 757.63
  4. Step 4: Simplify right side
    1,636.37x = 1,857,144.33
  5. Step 5: Solve for x
    x = 1,857,144.33/1,636.37
  6. Step 6: Final answer
    x = 1,134.92

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1.5x scale

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.