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Finding the Fourth Proportional to 428.45, 590.56 and 335.03

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Solution

The fourth proportional to 428.45, 590.56 and 335.03 is: 461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.45 : 590.56 = 335.03 : x
  2. Step 2: Convert to fraction form
    428.45/590.56 = 335.03/x
  3. Step 3: Cross multiply
    428.45x = 590.56 × 335.03
  4. Step 4: Simplify right side
    428.45x = 197,850.69
  5. Step 5: Solve for x
    x = 197,850.69/428.45
  6. Step 6: Final answer
    x = 461.79

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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.