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Finding the Fourth Proportional to 552.43, 762.33 and 303.74

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Solution

The fourth proportional to 552.43, 762.33 and 303.74 is: 419.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.43 : 762.33 = 303.74 : x
  2. Step 2: Convert to fraction form
    552.43/762.33 = 303.74/x
  3. Step 3: Cross multiply
    552.43x = 762.33 × 303.74
  4. Step 4: Simplify right side
    552.43x = 231,550.11
  5. Step 5: Solve for x
    x = 231,550.11/552.43
  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.