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Finding the Fourth Proportional to 478.68, 660.53 and 329.43

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Solution

The fourth proportional to 478.68, 660.53 and 329.43 is: 454.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.68 : 660.53 = 329.43 : x
  2. Step 2: Convert to fraction form
    478.68/660.53 = 329.43/x
  3. Step 3: Cross multiply
    478.68x = 660.53 × 329.43
  4. Step 4: Simplify right side
    478.68x = 217,596.75
  5. Step 5: Solve for x
    x = 217,596.75/478.68
  6. Step 6: Final answer
    x = 454.58

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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.