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Finding the Fourth Proportional to 725.86, 1,089.19 and 293.05

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Solution

The fourth proportional to 725.86, 1,089.19 and 293.05 is: 439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.86 : 1,089.19 = 293.05 : x
  2. Step 2: Convert to fraction form
    725.86/1,089.19 = 293.05/x
  3. Step 3: Cross multiply
    725.86x = 1,089.19 × 293.05
  4. Step 4: Simplify right side
    725.86x = 319,181.68
  5. Step 5: Solve for x
    x = 319,181.68/725.86
  6. Step 6: Final answer
    x = 439.73

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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.