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Finding the Fourth Proportional to 477, 657.90 and 329.88

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Solution

The fourth proportional to 477, 657.90 and 329.88 is: 454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 657.90 = 329.88 : x
  2. Step 2: Convert to fraction form
    477/657.90 = 329.88/x
  3. Step 3: Cross multiply
    477x = 657.90 × 329.88
  4. Step 4: Simplify right side
    477x = 217,028.05
  5. Step 5: Solve for x
    x = 217,028.05/477
  6. Step 6: Final answer
    x = 454.99

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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.