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Finding the Fourth Proportional to 1,305.78, 1,956.98 and 996.50

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Solution

The fourth proportional to 1,305.78, 1,956.98 and 996.50 is: 1,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.78 : 1,956.98 = 996.50 : x
  2. Step 2: Convert to fraction form
    1,305.78/1,956.98 = 996.50/x
  3. Step 3: Cross multiply
    1,305.78x = 1,956.98 × 996.50
  4. Step 4: Simplify right side
    1,305.78x = 1,950,130.57
  5. Step 5: Solve for x
    x = 1,950,130.57/1,305.78
  6. Step 6: Final answer
    x = 1,493.46

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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.