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Finding the Fourth Proportional to 476.03, 712.88 and 329.39

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Solution

The fourth proportional to 476.03, 712.88 and 329.39 is: 493.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.03 : 712.88 = 329.39 : x
  2. Step 2: Convert to fraction form
    476.03/712.88 = 329.39/x
  3. Step 3: Cross multiply
    476.03x = 712.88 × 329.39
  4. Step 4: Simplify right side
    476.03x = 234,812.80
  5. Step 5: Solve for x
    x = 234,812.80/476.03
  6. Step 6: Final answer
    x = 493.28

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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.