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Finding the Fourth Proportional to 470.45, 704.19 and 323.34

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Solution

The fourth proportional to 470.45, 704.19 and 323.34 is: 483.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.45 : 704.19 = 323.34 : x
  2. Step 2: Convert to fraction form
    470.45/704.19 = 323.34/x
  3. Step 3: Cross multiply
    470.45x = 704.19 × 323.34
  4. Step 4: Simplify right side
    470.45x = 227,691.37
  5. Step 5: Solve for x
    x = 227,691.37/470.45
  6. Step 6: Final answer
    x = 483.99

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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.