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Finding the Fourth Proportional to 496.63, 738.68 and 452.80

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Solution

The fourth proportional to 496.63, 738.68 and 452.80 is: 673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.63 : 738.68 = 452.80 : x
  2. Step 2: Convert to fraction form
    496.63/738.68 = 452.80/x
  3. Step 3: Cross multiply
    496.63x = 738.68 × 452.80
  4. Step 4: Simplify right side
    496.63x = 334,474.30
  5. Step 5: Solve for x
    x = 334,474.30/496.63
  6. Step 6: Final answer
    x = 673.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.