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Finding the Fourth Proportional to 1,224.06, 1,834.34 and 945.44

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Solution

The fourth proportional to 1,224.06, 1,834.34 and 945.44 is: 1,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.06 : 1,834.34 = 945.44 : x
  2. Step 2: Convert to fraction form
    1,224.06/1,834.34 = 945.44/x
  3. Step 3: Cross multiply
    1,224.06x = 1,834.34 × 945.44
  4. Step 4: Simplify right side
    1,224.06x = 1,734,244.51
  5. Step 5: Solve for x
    x = 1,734,244.51/1,224.06
  6. Step 6: Final answer
    x = 1,416.80

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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.