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Finding the Fourth Proportional to 457.23, 687.29 and 329.79

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Solution

The fourth proportional to 457.23, 687.29 and 329.79 is: 495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.23 : 687.29 = 329.79 : x
  2. Step 2: Convert to fraction form
    457.23/687.29 = 329.79/x
  3. Step 3: Cross multiply
    457.23x = 687.29 × 329.79
  4. Step 4: Simplify right side
    457.23x = 226,659.72
  5. Step 5: Solve for x
    x = 226,659.72/457.23
  6. Step 6: Final answer
    x = 495.72

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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.