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Finding the Fourth Proportional to 494.20, 743.10 and 483.40

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Solution

The fourth proportional to 494.20, 743.10 and 483.40 is: 726.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.20 : 743.10 = 483.40 : x
  2. Step 2: Convert to fraction form
    494.20/743.10 = 483.40/x
  3. Step 3: Cross multiply
    494.20x = 743.10 × 483.40
  4. Step 4: Simplify right side
    494.20x = 359,214.54
  5. Step 5: Solve for x
    x = 359,214.54/494.20
  6. Step 6: Final answer
    x = 726.86

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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.