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Finding the Fourth Proportional to 1,208.09, 1,812.41 and 478.42

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Solution

The fourth proportional to 1,208.09, 1,812.41 and 478.42 is: 717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.09 : 1,812.41 = 478.42 : x
  2. Step 2: Convert to fraction form
    1,208.09/1,812.41 = 478.42/x
  3. Step 3: Cross multiply
    1,208.09x = 1,812.41 × 478.42
  4. Step 4: Simplify right side
    1,208.09x = 867,093.19
  5. Step 5: Solve for x
    x = 867,093.19/1,208.09
  6. Step 6: Final answer
    x = 717.74

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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.