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Finding the Fourth Proportional to 488.43, 733.05 and 456.44

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Solution

The fourth proportional to 488.43, 733.05 and 456.44 is: 685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.43 : 733.05 = 456.44 : x
  2. Step 2: Convert to fraction form
    488.43/733.05 = 456.44/x
  3. Step 3: Cross multiply
    488.43x = 733.05 × 456.44
  4. Step 4: Simplify right side
    488.43x = 334,589.68
  5. Step 5: Solve for x
    x = 334,589.68/488.43
  6. Step 6: Final answer
    x = 685.03

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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.