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Finding the Fourth Proportional to 482.92, 666.31 and 325.84

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Solution

The fourth proportional to 482.92, 666.31 and 325.84 is: 449.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.92 : 666.31 = 325.84 : x
  2. Step 2: Convert to fraction form
    482.92/666.31 = 325.84/x
  3. Step 3: Cross multiply
    482.92x = 666.31 × 325.84
  4. Step 4: Simplify right side
    482.92x = 217,110.02
  5. Step 5: Solve for x
    x = 217,110.02/482.92
  6. Step 6: Final answer
    x = 449.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.