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Finding the Fourth Proportional to 1,229.89, 1,845.18 and 613.43

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Solution

The fourth proportional to 1,229.89, 1,845.18 and 613.43 is: 920.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.89 : 1,845.18 = 613.43 : x
  2. Step 2: Convert to fraction form
    1,229.89/1,845.18 = 613.43/x
  3. Step 3: Cross multiply
    1,229.89x = 1,845.18 × 613.43
  4. Step 4: Simplify right side
    1,229.89x = 1,131,888.77
  5. Step 5: Solve for x
    x = 1,131,888.77/1,229.89
  6. Step 6: Final answer
    x = 920.32

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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.