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Finding the Fourth Proportional to 482.52, 721.62 and 367.02

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Solution

The fourth proportional to 482.52, 721.62 and 367.02 is: 548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.52 : 721.62 = 367.02 : x
  2. Step 2: Convert to fraction form
    482.52/721.62 = 367.02/x
  3. Step 3: Cross multiply
    482.52x = 721.62 × 367.02
  4. Step 4: Simplify right side
    482.52x = 264,848.97
  5. Step 5: Solve for x
    x = 264,848.97/482.52
  6. Step 6: Final answer
    x = 548.89

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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.