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Finding the Fourth Proportional to 2,003, 3,004.98 and 635

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Solution

The fourth proportional to 2,003, 3,004.98 and 635 is: 952.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003 : 3,004.98 = 635 : x
  2. Step 2: Convert to fraction form
    2,003/3,004.98 = 635/x
  3. Step 3: Cross multiply
    2,003x = 3,004.98 × 635
  4. Step 4: Simplify right side
    2,003x = 1,908,162.30
  5. Step 5: Solve for x
    x = 1,908,162.30/2,003
  6. Step 6: Final answer
    x = 952.65

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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.