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Finding the Fourth Proportional to 482.37, 721.72 and 299.31

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Solution

The fourth proportional to 482.37, 721.72 and 299.31 is: 447.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.37 : 721.72 = 299.31 : x
  2. Step 2: Convert to fraction form
    482.37/721.72 = 299.31/x
  3. Step 3: Cross multiply
    482.37x = 721.72 × 299.31
  4. Step 4: Simplify right side
    482.37x = 216,018.01
  5. Step 5: Solve for x
    x = 216,018.01/482.37
  6. Step 6: Final answer
    x = 447.83

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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.