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Finding the Fourth Proportional to 1,204.55, 1,806.89 and 338.93

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Solution

The fourth proportional to 1,204.55, 1,806.89 and 338.93 is: 508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.55 : 1,806.89 = 338.93 : x
  2. Step 2: Convert to fraction form
    1,204.55/1,806.89 = 338.93/x
  3. Step 3: Cross multiply
    1,204.55x = 1,806.89 × 338.93
  4. Step 4: Simplify right side
    1,204.55x = 612,413.96
  5. Step 5: Solve for x
    x = 612,413.96/1,204.55
  6. Step 6: Final answer
    x = 508.42

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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.