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Finding the Fourth Proportional to 1,418.56, 2,128.11 and 444.46

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Solution

The fourth proportional to 1,418.56, 2,128.11 and 444.46 is: 666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.56 : 2,128.11 = 444.46 : x
  2. Step 2: Convert to fraction form
    1,418.56/2,128.11 = 444.46/x
  3. Step 3: Cross multiply
    1,418.56x = 2,128.11 × 444.46
  4. Step 4: Simplify right side
    1,418.56x = 945,859.77
  5. Step 5: Solve for x
    x = 945,859.77/1,418.56
  6. Step 6: Final answer
    x = 666.77

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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.