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Finding the Fourth Proportional to 496.53, 743.58 and 409.33

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Solution

The fourth proportional to 496.53, 743.58 and 409.33 is: 612.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.53 : 743.58 = 409.33 : x
  2. Step 2: Convert to fraction form
    496.53/743.58 = 409.33/x
  3. Step 3: Cross multiply
    496.53x = 743.58 × 409.33
  4. Step 4: Simplify right side
    496.53x = 304,367.55
  5. Step 5: Solve for x
    x = 304,367.55/496.53
  6. Step 6: Final answer
    x = 612.99

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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.