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Finding the Fourth Proportional to 1,318.76, 1,819.96 and 729.32

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Solution

The fourth proportional to 1,318.76, 1,819.96 and 729.32 is: 1,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.76 : 1,819.96 = 729.32 : x
  2. Step 2: Convert to fraction form
    1,318.76/1,819.96 = 729.32/x
  3. Step 3: Cross multiply
    1,318.76x = 1,819.96 × 729.32
  4. Step 4: Simplify right side
    1,318.76x = 1,327,333.23
  5. Step 5: Solve for x
    x = 1,327,333.23/1,318.76
  6. Step 6: Final answer
    x = 1,006.50

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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.