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Finding the Fourth Proportional to 1,213.48, 1,813.79 and 1,056.09

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Solution

The fourth proportional to 1,213.48, 1,813.79 and 1,056.09 is: 1,578.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.48 : 1,813.79 = 1,056.09 : x
  2. Step 2: Convert to fraction form
    1,213.48/1,813.79 = 1,056.09/x
  3. Step 3: Cross multiply
    1,213.48x = 1,813.79 × 1,056.09
  4. Step 4: Simplify right side
    1,213.48x = 1,915,524.72
  5. Step 5: Solve for x
    x = 1,915,524.72/1,213.48
  6. Step 6: Final answer
    x = 1,578.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.