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Finding the Fourth Proportional to 552.75, 762.78 and 304.07

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Solution

The fourth proportional to 552.75, 762.78 and 304.07 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.75 : 762.78 = 304.07 : x
  2. Step 2: Convert to fraction form
    552.75/762.78 = 304.07/x
  3. Step 3: Cross multiply
    552.75x = 762.78 × 304.07
  4. Step 4: Simplify right side
    552.75x = 231,935.42
  5. Step 5: Solve for x
    x = 231,935.42/552.75
  6. Step 6: Final answer
    x = 419.61

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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.