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Finding the Fourth Proportional to 1,318.85, 1,819.99 and 729.37

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Solution

The fourth proportional to 1,318.85, 1,819.99 and 729.37 is: 1,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.85 : 1,819.99 = 729.37 : x
  2. Step 2: Convert to fraction form
    1,318.85/1,819.99 = 729.37/x
  3. Step 3: Cross multiply
    1,318.85x = 1,819.99 × 729.37
  4. Step 4: Simplify right side
    1,318.85x = 1,327,433.36
  5. Step 5: Solve for x
    x = 1,327,433.36/1,318.85
  6. Step 6: Final answer
    x = 1,006.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.