Home / 1,230.39-1,845.89-409.05

Finding the Fourth Proportional to 1,230.39, 1,845.89 and 409.05

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Solution

The fourth proportional to 1,230.39, 1,845.89 and 409.05 is: 613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.39 : 1,845.89 = 409.05 : x
  2. Step 2: Convert to fraction form
    1,230.39/1,845.89 = 409.05/x
  3. Step 3: Cross multiply
    1,230.39x = 1,845.89 × 409.05
  4. Step 4: Simplify right side
    1,230.39x = 755,060.79
  5. Step 5: Solve for x
    x = 755,060.79/1,230.39
  6. Step 6: Final answer
    x = 613.68

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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.