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Finding the Fourth Proportional to 476.82, 713.42 and 428.86

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Solution

The fourth proportional to 476.82, 713.42 and 428.86 is: 641.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 713.42 = 428.86 : x
  2. Step 2: Convert to fraction form
    476.82/713.42 = 428.86/x
  3. Step 3: Cross multiply
    476.82x = 713.42 × 428.86
  4. Step 4: Simplify right side
    476.82x = 305,957.30
  5. Step 5: Solve for x
    x = 305,957.30/476.82
  6. Step 6: Final answer
    x = 641.66

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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.