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Finding the Fourth Proportional to 471.91, 708.46 and 299.31

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Solution

The fourth proportional to 471.91, 708.46 and 299.31 is: 449.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.91 : 708.46 = 299.31 : x
  2. Step 2: Convert to fraction form
    471.91/708.46 = 299.31/x
  3. Step 3: Cross multiply
    471.91x = 708.46 × 299.31
  4. Step 4: Simplify right side
    471.91x = 212,047.17
  5. Step 5: Solve for x
    x = 212,047.17/471.91
  6. Step 6: Final answer
    x = 449.33

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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.