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Finding the Fourth Proportional to 552.65, 827.75 and 369.18

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Solution

The fourth proportional to 552.65, 827.75 and 369.18 is: 552.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.65 : 827.75 = 369.18 : x
  2. Step 2: Convert to fraction form
    552.65/827.75 = 369.18/x
  3. Step 3: Cross multiply
    552.65x = 827.75 × 369.18
  4. Step 4: Simplify right side
    552.65x = 305,588.75
  5. Step 5: Solve for x
    x = 305,588.75/552.65
  6. Step 6: Final answer
    x = 552.96

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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.