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Finding the Fourth Proportional to 553.02, 827.37 and 369.54

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Solution

The fourth proportional to 553.02, 827.37 and 369.54 is: 552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.02 : 827.37 = 369.54 : x
  2. Step 2: Convert to fraction form
    553.02/827.37 = 369.54/x
  3. Step 3: Cross multiply
    553.02x = 827.37 × 369.54
  4. Step 4: Simplify right side
    553.02x = 305,746.31
  5. Step 5: Solve for x
    x = 305,746.31/553.02
  6. Step 6: Final answer
    x = 552.87

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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.