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Finding the Fourth Proportional to 470.76, 648.99 and 323.34

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Solution

The fourth proportional to 470.76, 648.99 and 323.34 is: 445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.76 : 648.99 = 323.34 : x
  2. Step 2: Convert to fraction form
    470.76/648.99 = 323.34/x
  3. Step 3: Cross multiply
    470.76x = 648.99 × 323.34
  4. Step 4: Simplify right side
    470.76x = 209,844.43
  5. Step 5: Solve for x
    x = 209,844.43/470.76
  6. Step 6: Final answer
    x = 445.76

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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.