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Finding the Fourth Proportional to 552.36, 827.52 and 277.79

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Solution

The fourth proportional to 552.36, 827.52 and 277.79 is: 416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.36 : 827.52 = 277.79 : x
  2. Step 2: Convert to fraction form
    552.36/827.52 = 277.79/x
  3. Step 3: Cross multiply
    552.36x = 827.52 × 277.79
  4. Step 4: Simplify right side
    552.36x = 229,878.85
  5. Step 5: Solve for x
    x = 229,878.85/552.36
  6. Step 6: Final answer
    x = 416.17

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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.