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Finding the Fourth Proportional to 552.39, 827.78 and 335.45

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Solution

The fourth proportional to 552.39, 827.78 and 335.45 is: 502.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.39 : 827.78 = 335.45 : x
  2. Step 2: Convert to fraction form
    552.39/827.78 = 335.45/x
  3. Step 3: Cross multiply
    552.39x = 827.78 × 335.45
  4. Step 4: Simplify right side
    552.39x = 277,672.98
  5. Step 5: Solve for x
    x = 277,672.98/552.39
  6. Step 6: Final answer
    x = 502.68

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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.