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Finding the Fourth Proportional to 1,218.59, 1,824.22 and 1,054.56

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Solution

The fourth proportional to 1,218.59, 1,824.22 and 1,054.56 is: 1,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.59 : 1,824.22 = 1,054.56 : x
  2. Step 2: Convert to fraction form
    1,218.59/1,824.22 = 1,054.56/x
  3. Step 3: Cross multiply
    1,218.59x = 1,824.22 × 1,054.56
  4. Step 4: Simplify right side
    1,218.59x = 1,923,749.44
  5. Step 5: Solve for x
    x = 1,923,749.44/1,218.59
  6. Step 6: Final answer
    x = 1,578.67

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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.