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Finding the Fourth Proportional to 725.89, 1,089.04 and 263.65

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Solution

The fourth proportional to 725.89, 1,089.04 and 263.65 is: 395.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.89 : 1,089.04 = 263.65 : x
  2. Step 2: Convert to fraction form
    725.89/1,089.04 = 263.65/x
  3. Step 3: Cross multiply
    725.89x = 1,089.04 × 263.65
  4. Step 4: Simplify right side
    725.89x = 287,125.40
  5. Step 5: Solve for x
    x = 287,125.40/725.89
  6. Step 6: Final answer
    x = 395.55

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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.