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Finding the Fourth Proportional to 725.91, 1,089.08 and 355.74

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Solution

The fourth proportional to 725.91, 1,089.08 and 355.74 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.91 : 1,089.08 = 355.74 : x
  2. Step 2: Convert to fraction form
    725.91/1,089.08 = 355.74/x
  3. Step 3: Cross multiply
    725.91x = 1,089.08 × 355.74
  4. Step 4: Simplify right side
    725.91x = 387,427.54
  5. Step 5: Solve for x
    x = 387,427.54/725.91
  6. Step 6: Final answer
    x = 533.71

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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.