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Finding the Fourth Proportional to 1,481.61, 2,222.22 and 385.88

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Solution

The fourth proportional to 1,481.61, 2,222.22 and 385.88 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.61 : 2,222.22 = 385.88 : x
  2. Step 2: Convert to fraction form
    1,481.61/2,222.22 = 385.88/x
  3. Step 3: Cross multiply
    1,481.61x = 2,222.22 × 385.88
  4. Step 4: Simplify right side
    1,481.61x = 857,515.81
  5. Step 5: Solve for x
    x = 857,515.81/1,481.61
  6. Step 6: Final answer
    x = 578.77

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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.