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Finding the Fourth Proportional to 470.72, 649.62 and 323.42

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Solution

The fourth proportional to 470.72, 649.62 and 323.42 is: 446.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.72 : 649.62 = 323.42 : x
  2. Step 2: Convert to fraction form
    470.72/649.62 = 323.42/x
  3. Step 3: Cross multiply
    470.72x = 649.62 × 323.42
  4. Step 4: Simplify right side
    470.72x = 210,100.10
  5. Step 5: Solve for x
    x = 210,100.10/470.72
  6. Step 6: Final answer
    x = 446.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.