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Finding the Fourth Proportional to 1,305.48, 1,956.38 and 980.48

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Solution

The fourth proportional to 1,305.48, 1,956.38 and 980.48 is: 1,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.48 : 1,956.38 = 980.48 : x
  2. Step 2: Convert to fraction form
    1,305.48/1,956.38 = 980.48/x
  3. Step 3: Cross multiply
    1,305.48x = 1,956.38 × 980.48
  4. Step 4: Simplify right side
    1,305.48x = 1,918,191.46
  5. Step 5: Solve for x
    x = 1,918,191.46/1,305.48
  6. Step 6: Final answer
    x = 1,469.34

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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.