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Finding the Fourth Proportional to 1,635.92, 2,453.87 and 662.01

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Solution

The fourth proportional to 1,635.92, 2,453.87 and 662.01 is: 993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.92 : 2,453.87 = 662.01 : x
  2. Step 2: Convert to fraction form
    1,635.92/2,453.87 = 662.01/x
  3. Step 3: Cross multiply
    1,635.92x = 2,453.87 × 662.01
  4. Step 4: Simplify right side
    1,635.92x = 1,624,488.13
  5. Step 5: Solve for x
    x = 1,624,488.13/1,635.92
  6. Step 6: Final answer
    x = 993.01

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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.