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Finding the Fourth Proportional to 476.72, 657.90 and 329.42

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Solution

The fourth proportional to 476.72, 657.90 and 329.42 is: 454.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 657.90 = 329.42 : x
  2. Step 2: Convert to fraction form
    476.72/657.90 = 329.42/x
  3. Step 3: Cross multiply
    476.72x = 657.90 × 329.42
  4. Step 4: Simplify right side
    476.72x = 216,725.42
  5. Step 5: Solve for x
    x = 216,725.42/476.72
  6. Step 6: Final answer
    x = 454.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.