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Finding the Fourth Proportional to 1,208.27, 1,812.55 and 428.11

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Solution

The fourth proportional to 1,208.27, 1,812.55 and 428.11 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.27 : 1,812.55 = 428.11 : x
  2. Step 2: Convert to fraction form
    1,208.27/1,812.55 = 428.11/x
  3. Step 3: Cross multiply
    1,208.27x = 1,812.55 × 428.11
  4. Step 4: Simplify right side
    1,208.27x = 775,970.78
  5. Step 5: Solve for x
    x = 775,970.78/1,208.27
  6. Step 6: Final answer
    x = 642.22

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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.