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Finding the Fourth Proportional to 484.78, 726.41 and 289.30

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Solution

The fourth proportional to 484.78, 726.41 and 289.30 is: 433.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.78 : 726.41 = 289.30 : x
  2. Step 2: Convert to fraction form
    484.78/726.41 = 289.30/x
  3. Step 3: Cross multiply
    484.78x = 726.41 × 289.30
  4. Step 4: Simplify right side
    484.78x = 210,148.97
  5. Step 5: Solve for x
    x = 210,148.97/484.78
  6. Step 6: Final answer
    x = 433.49

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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.