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Finding the Fourth Proportional to 428.70, 641.86 and 274.25

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Solution

The fourth proportional to 428.70, 641.86 and 274.25 is: 410.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.70 : 641.86 = 274.25 : x
  2. Step 2: Convert to fraction form
    428.70/641.86 = 274.25/x
  3. Step 3: Cross multiply
    428.70x = 641.86 × 274.25
  4. Step 4: Simplify right side
    428.70x = 176,026.21
  5. Step 5: Solve for x
    x = 176,026.21/428.70
  6. Step 6: Final answer
    x = 410.60

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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.