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Finding the Fourth Proportional to 725.43, 1,085.83 and 518.99

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Solution

The fourth proportional to 725.43, 1,085.83 and 518.99 is: 776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.43 : 1,085.83 = 518.99 : x
  2. Step 2: Convert to fraction form
    725.43/1,085.83 = 518.99/x
  3. Step 3: Cross multiply
    725.43x = 1,085.83 × 518.99
  4. Step 4: Simplify right side
    725.43x = 563,531.26
  5. Step 5: Solve for x
    x = 563,531.26/725.43
  6. Step 6: Final answer
    x = 776.83

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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.