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Finding the Fourth Proportional to 618, 852.96 and 369.36

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Solution

The fourth proportional to 618, 852.96 and 369.36 is: 509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    618 : 852.96 = 369.36 : x
  2. Step 2: Convert to fraction form
    618/852.96 = 369.36/x
  3. Step 3: Cross multiply
    618x = 852.96 × 369.36
  4. Step 4: Simplify right side
    618x = 315,049.31
  5. Step 5: Solve for x
    x = 315,049.31/618
  6. Step 6: Final answer
    x = 509.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.