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Finding the Fourth Proportional to 762.56, 1,144.04 and 275.56

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Solution

The fourth proportional to 762.56, 1,144.04 and 275.56 is: 413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.56 : 1,144.04 = 275.56 : x
  2. Step 2: Convert to fraction form
    762.56/1,144.04 = 275.56/x
  3. Step 3: Cross multiply
    762.56x = 1,144.04 × 275.56
  4. Step 4: Simplify right side
    762.56x = 315,251.66
  5. Step 5: Solve for x
    x = 315,251.66/762.56
  6. Step 6: Final answer
    x = 413.41

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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.