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Finding the Fourth Proportional to 470.43, 709.11 and 441.81

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Solution

The fourth proportional to 470.43, 709.11 and 441.81 is: 665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.43 : 709.11 = 441.81 : x
  2. Step 2: Convert to fraction form
    470.43/709.11 = 441.81/x
  3. Step 3: Cross multiply
    470.43x = 709.11 × 441.81
  4. Step 4: Simplify right side
    470.43x = 313,291.89
  5. Step 5: Solve for x
    x = 313,291.89/470.43
  6. Step 6: Final answer
    x = 665.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.