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Finding the Fourth Proportional to 762.94, 1,143.73 and 275.88

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Solution

The fourth proportional to 762.94, 1,143.73 and 275.88 is: 413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.94 : 1,143.73 = 275.88 : x
  2. Step 2: Convert to fraction form
    762.94/1,143.73 = 275.88/x
  3. Step 3: Cross multiply
    762.94x = 1,143.73 × 275.88
  4. Step 4: Simplify right side
    762.94x = 315,531.54
  5. Step 5: Solve for x
    x = 315,531.54/762.94
  6. Step 6: Final answer
    x = 413.57

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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.