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Finding the Fourth Proportional to 473.96, 711.30 and 329.88

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Solution

The fourth proportional to 473.96, 711.30 and 329.88 is: 495.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.96 : 711.30 = 329.88 : x
  2. Step 2: Convert to fraction form
    473.96/711.30 = 329.88/x
  3. Step 3: Cross multiply
    473.96x = 711.30 × 329.88
  4. Step 4: Simplify right side
    473.96x = 234,643.64
  5. Step 5: Solve for x
    x = 234,643.64/473.96
  6. Step 6: Final answer
    x = 495.07

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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.