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Finding the Fourth Proportional to 725.83, 1,089.05 and 452.15

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Solution

The fourth proportional to 725.83, 1,089.05 and 452.15 is: 678.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.83 : 1,089.05 = 452.15 : x
  2. Step 2: Convert to fraction form
    725.83/1,089.05 = 452.15/x
  3. Step 3: Cross multiply
    725.83x = 1,089.05 × 452.15
  4. Step 4: Simplify right side
    725.83x = 492,413.96
  5. Step 5: Solve for x
    x = 492,413.96/725.83
  6. Step 6: Final answer
    x = 678.41

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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.