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Finding the Fourth Proportional to 552.49, 827.82 and 389.88

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Solution

The fourth proportional to 552.49, 827.82 and 389.88 is: 584.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.49 : 827.82 = 389.88 : x
  2. Step 2: Convert to fraction form
    552.49/827.82 = 389.88/x
  3. Step 3: Cross multiply
    552.49x = 827.82 × 389.88
  4. Step 4: Simplify right side
    552.49x = 322,750.46
  5. Step 5: Solve for x
    x = 322,750.46/552.49
  6. Step 6: Final answer
    x = 584.18

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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.