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Finding the Fourth Proportional to 552.51, 827.46 and 277.74

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Solution

The fourth proportional to 552.51, 827.46 and 277.74 is: 415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.51 : 827.46 = 277.74 : x
  2. Step 2: Convert to fraction form
    552.51/827.46 = 277.74/x
  3. Step 3: Cross multiply
    552.51x = 827.46 × 277.74
  4. Step 4: Simplify right side
    552.51x = 229,818.74
  5. Step 5: Solve for x
    x = 229,818.74/552.51
  6. Step 6: Final answer
    x = 415.95

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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.