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Finding the Fourth Proportional to 1,305.50, 1,956.38 and 980.50

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Solution

The fourth proportional to 1,305.50, 1,956.38 and 980.50 is: 1,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.50 : 1,956.38 = 980.50 : x
  2. Step 2: Convert to fraction form
    1,305.50/1,956.38 = 980.50/x
  3. Step 3: Cross multiply
    1,305.50x = 1,956.38 × 980.50
  4. Step 4: Simplify right side
    1,305.50x = 1,918,230.59
  5. Step 5: Solve for x
    x = 1,918,230.59/1,305.50
  6. Step 6: Final answer
    x = 1,469.35

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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.