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Finding the Fourth Proportional to 1,305.54, 1,958.19 and 428.02

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Solution

The fourth proportional to 1,305.54, 1,958.19 and 428.02 is: 641.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.54 : 1,958.19 = 428.02 : x
  2. Step 2: Convert to fraction form
    1,305.54/1,958.19 = 428.02/x
  3. Step 3: Cross multiply
    1,305.54x = 1,958.19 × 428.02
  4. Step 4: Simplify right side
    1,305.54x = 838,138.91
  5. Step 5: Solve for x
    x = 838,138.91/1,305.54
  6. Step 6: Final answer
    x = 641.99

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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.