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Finding the Fourth Proportional to 486.56, 733.82 and 477.92

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Solution

The fourth proportional to 486.56, 733.82 and 477.92 is: 720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 733.82 = 477.92 : x
  2. Step 2: Convert to fraction form
    486.56/733.82 = 477.92/x
  3. Step 3: Cross multiply
    486.56x = 733.82 × 477.92
  4. Step 4: Simplify right side
    486.56x = 350,707.25
  5. Step 5: Solve for x
    x = 350,707.25/486.56
  6. Step 6: Final answer
    x = 720.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.