Home / 1,230.49-1,845.69-408.70

Finding the Fourth Proportional to 1,230.49, 1,845.69 and 408.70

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Solution

The fourth proportional to 1,230.49, 1,845.69 and 408.70 is: 613.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.49 : 1,845.69 = 408.70 : x
  2. Step 2: Convert to fraction form
    1,230.49/1,845.69 = 408.70/x
  3. Step 3: Cross multiply
    1,230.49x = 1,845.69 × 408.70
  4. Step 4: Simplify right side
    1,230.49x = 754,323.90
  5. Step 5: Solve for x
    x = 754,323.90/1,230.49
  6. Step 6: Final answer
    x = 613.03

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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.