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Finding the Fourth Proportional to 1,305.50, 1,958.26 and 428.09

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Solution

The fourth proportional to 1,305.50, 1,958.26 and 428.09 is: 642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.50 : 1,958.26 = 428.09 : x
  2. Step 2: Convert to fraction form
    1,305.50/1,958.26 = 428.09/x
  3. Step 3: Cross multiply
    1,305.50x = 1,958.26 × 428.09
  4. Step 4: Simplify right side
    1,305.50x = 838,308.18
  5. Step 5: Solve for x
    x = 838,308.18/1,305.50
  6. Step 6: Final answer
    x = 642.14

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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.