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Finding the Fourth Proportional to 1,635.50, 2,453.47 and 758.85

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Solution

The fourth proportional to 1,635.50, 2,453.47 and 758.85 is: 1,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.50 : 2,453.47 = 758.85 : x
  2. Step 2: Convert to fraction form
    1,635.50/2,453.47 = 758.85/x
  3. Step 3: Cross multiply
    1,635.50x = 2,453.47 × 758.85
  4. Step 4: Simplify right side
    1,635.50x = 1,861,813.81
  5. Step 5: Solve for x
    x = 1,861,813.81/1,635.50
  6. Step 6: Final answer
    x = 1,138.38

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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.