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Finding the Fourth Proportional to 1,208.01, 1,812.42 and 630.75

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Solution

The fourth proportional to 1,208.01, 1,812.42 and 630.75 is: 946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.01 : 1,812.42 = 630.75 : x
  2. Step 2: Convert to fraction form
    1,208.01/1,812.42 = 630.75/x
  3. Step 3: Cross multiply
    1,208.01x = 1,812.42 × 630.75
  4. Step 4: Simplify right side
    1,208.01x = 1,143,183.92
  5. Step 5: Solve for x
    x = 1,143,183.92/1,208.01
  6. Step 6: Final answer
    x = 946.34

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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.