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Finding the Fourth Proportional to 428.98, 641.83 and 284.98

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Solution

The fourth proportional to 428.98, 641.83 and 284.98 is: 426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.98 : 641.83 = 284.98 : x
  2. Step 2: Convert to fraction form
    428.98/641.83 = 284.98/x
  3. Step 3: Cross multiply
    428.98x = 641.83 × 284.98
  4. Step 4: Simplify right side
    428.98x = 182,908.71
  5. Step 5: Solve for x
    x = 182,908.71/428.98
  6. Step 6: Final answer
    x = 426.38

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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.