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Finding the Fourth Proportional to 428.05, 589.84 and 303.85

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Solution

The fourth proportional to 428.05, 589.84 and 303.85 is: 418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.05 : 589.84 = 303.85 : x
  2. Step 2: Convert to fraction form
    428.05/589.84 = 303.85/x
  3. Step 3: Cross multiply
    428.05x = 589.84 × 303.85
  4. Step 4: Simplify right side
    428.05x = 179,222.88
  5. Step 5: Solve for x
    x = 179,222.88/428.05
  6. Step 6: Final answer
    x = 418.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.