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Finding the Fourth Proportional to 477.14, 657.42 and 329.48

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Solution

The fourth proportional to 477.14, 657.42 and 329.48 is: 453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 657.42 = 329.48 : x
  2. Step 2: Convert to fraction form
    477.14/657.42 = 329.48/x
  3. Step 3: Cross multiply
    477.14x = 657.42 × 329.48
  4. Step 4: Simplify right side
    477.14x = 216,606.74
  5. Step 5: Solve for x
    x = 216,606.74/477.14
  6. Step 6: Final answer
    x = 453.97

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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.