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Finding the Fourth Proportional to 552.45, 762.33 and 303.75

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Solution

The fourth proportional to 552.45, 762.33 and 303.75 is: 419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.45 : 762.33 = 303.75 : x
  2. Step 2: Convert to fraction form
    552.45/762.33 = 303.75/x
  3. Step 3: Cross multiply
    552.45x = 762.33 × 303.75
  4. Step 4: Simplify right side
    552.45x = 231,557.74
  5. Step 5: Solve for x
    x = 231,557.74/552.45
  6. Step 6: Final answer
    x = 419.15

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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.