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Finding the Fourth Proportional to 905.49, 1,359.41 and 729.90

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Solution

The fourth proportional to 905.49, 1,359.41 and 729.90 is: 1,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.49 : 1,359.41 = 729.90 : x
  2. Step 2: Convert to fraction form
    905.49/1,359.41 = 729.90/x
  3. Step 3: Cross multiply
    905.49x = 1,359.41 × 729.90
  4. Step 4: Simplify right side
    905.49x = 992,229.71
  5. Step 5: Solve for x
    x = 992,229.71/905.49
  6. Step 6: Final answer
    x = 1,095.79

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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.