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Finding the Fourth Proportional to 1,230.45, 1,845.90 and 408.75

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Solution

The fourth proportional to 1,230.45, 1,845.90 and 408.75 is: 613.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.45 : 1,845.90 = 408.75 : x
  2. Step 2: Convert to fraction form
    1,230.45/1,845.90 = 408.75/x
  3. Step 3: Cross multiply
    1,230.45x = 1,845.90 × 408.75
  4. Step 4: Simplify right side
    1,230.45x = 754,511.63
  5. Step 5: Solve for x
    x = 754,511.63/1,230.45
  6. Step 6: Final answer
    x = 613.20

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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.