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Finding the Fourth Proportional to 478.96, 717.20 and 333.16

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Solution

The fourth proportional to 478.96, 717.20 and 333.16 is: 498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.96 : 717.20 = 333.16 : x
  2. Step 2: Convert to fraction form
    478.96/717.20 = 333.16/x
  3. Step 3: Cross multiply
    478.96x = 717.20 × 333.16
  4. Step 4: Simplify right side
    478.96x = 238,942.35
  5. Step 5: Solve for x
    x = 238,942.35/478.96
  6. Step 6: Final answer
    x = 498.88

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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.