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Finding the Fourth Proportional to 1,236.45, 1,853.06 and 505.19

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Solution

The fourth proportional to 1,236.45, 1,853.06 and 505.19 is: 757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.45 : 1,853.06 = 505.19 : x
  2. Step 2: Convert to fraction form
    1,236.45/1,853.06 = 505.19/x
  3. Step 3: Cross multiply
    1,236.45x = 1,853.06 × 505.19
  4. Step 4: Simplify right side
    1,236.45x = 936,149.49
  5. Step 5: Solve for x
    x = 936,149.49/1,236.45
  6. Step 6: Final answer
    x = 757.13

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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.