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Finding the Fourth Proportional to 428.43, 590.61 and 334.98

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Solution

The fourth proportional to 428.43, 590.61 and 334.98 is: 461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.43 : 590.61 = 334.98 : x
  2. Step 2: Convert to fraction form
    428.43/590.61 = 334.98/x
  3. Step 3: Cross multiply
    428.43x = 590.61 × 334.98
  4. Step 4: Simplify right side
    428.43x = 197,842.54
  5. Step 5: Solve for x
    x = 197,842.54/428.43
  6. Step 6: Final answer
    x = 461.78

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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.