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Finding the Fourth Proportional to 552.75, 762.60 and 366.33

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Solution

The fourth proportional to 552.75, 762.60 and 366.33 is: 505.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.75 : 762.60 = 366.33 : x
  2. Step 2: Convert to fraction form
    552.75/762.60 = 366.33/x
  3. Step 3: Cross multiply
    552.75x = 762.60 × 366.33
  4. Step 4: Simplify right side
    552.75x = 279,363.26
  5. Step 5: Solve for x
    x = 279,363.26/552.75
  6. Step 6: Final answer
    x = 505.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.