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Finding the Fourth Proportional to 1,236.49, 1,853.16 and 505.24

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Solution

The fourth proportional to 1,236.49, 1,853.16 and 505.24 is: 757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.49 : 1,853.16 = 505.24 : x
  2. Step 2: Convert to fraction form
    1,236.49/1,853.16 = 505.24/x
  3. Step 3: Cross multiply
    1,236.49x = 1,853.16 × 505.24
  4. Step 4: Simplify right side
    1,236.49x = 936,290.56
  5. Step 5: Solve for x
    x = 936,290.56/1,236.49
  6. Step 6: Final answer
    x = 757.22

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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.