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Finding the Fourth Proportional to 477.57, 713.09 and 427.84

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Solution

The fourth proportional to 477.57, 713.09 and 427.84 is: 638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.57 : 713.09 = 427.84 : x
  2. Step 2: Convert to fraction form
    477.57/713.09 = 427.84/x
  3. Step 3: Cross multiply
    477.57x = 713.09 × 427.84
  4. Step 4: Simplify right side
    477.57x = 305,087.98
  5. Step 5: Solve for x
    x = 305,087.98/477.57
  6. Step 6: Final answer
    x = 638.83

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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.