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Finding the Fourth Proportional to 473.26, 709.12 and 287.96

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Solution

The fourth proportional to 473.26, 709.12 and 287.96 is: 431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.26 : 709.12 = 287.96 : x
  2. Step 2: Convert to fraction form
    473.26/709.12 = 287.96/x
  3. Step 3: Cross multiply
    473.26x = 709.12 × 287.96
  4. Step 4: Simplify right side
    473.26x = 204,195.01
  5. Step 5: Solve for x
    x = 204,195.01/473.26
  6. Step 6: Final answer
    x = 431.47

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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.