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Finding the Fourth Proportional to 553.95, 827.37 and 477.18

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Solution

The fourth proportional to 553.95, 827.37 and 477.18 is: 712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.95 : 827.37 = 477.18 : x
  2. Step 2: Convert to fraction form
    553.95/827.37 = 477.18/x
  3. Step 3: Cross multiply
    553.95x = 827.37 × 477.18
  4. Step 4: Simplify right side
    553.95x = 394,804.42
  5. Step 5: Solve for x
    x = 394,804.42/553.95
  6. Step 6: Final answer
    x = 712.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.