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Finding the Fourth Proportional to 471.68, 707.97 and 289.43

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Solution

The fourth proportional to 471.68, 707.97 and 289.43 is: 434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.68 : 707.97 = 289.43 : x
  2. Step 2: Convert to fraction form
    471.68/707.97 = 289.43/x
  3. Step 3: Cross multiply
    471.68x = 707.97 × 289.43
  4. Step 4: Simplify right side
    471.68x = 204,905.26
  5. Step 5: Solve for x
    x = 204,905.26/471.68
  6. Step 6: Final answer
    x = 434.42

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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.