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Finding the Fourth Proportional to 552.27, 827.49 and 346.33

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Solution

The fourth proportional to 552.27, 827.49 and 346.33 is: 518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 827.49 = 346.33 : x
  2. Step 2: Convert to fraction form
    552.27/827.49 = 346.33/x
  3. Step 3: Cross multiply
    552.27x = 827.49 × 346.33
  4. Step 4: Simplify right side
    552.27x = 286,581.32
  5. Step 5: Solve for x
    x = 286,581.32/552.27
  6. Step 6: Final answer
    x = 518.92

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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.