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Finding the Fourth Proportional to 476.02, 713.15 and 329.35

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Solution

The fourth proportional to 476.02, 713.15 and 329.35 is: 493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.02 : 713.15 = 329.35 : x
  2. Step 2: Convert to fraction form
    476.02/713.15 = 329.35/x
  3. Step 3: Cross multiply
    476.02x = 713.15 × 329.35
  4. Step 4: Simplify right side
    476.02x = 234,875.95
  5. Step 5: Solve for x
    x = 234,875.95/476.02
  6. Step 6: Final answer
    x = 493.42

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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.