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Finding the Fourth Proportional to 496.14, 745.05 and 455.36

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Solution

The fourth proportional to 496.14, 745.05 and 455.36 is: 683.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.14 : 745.05 = 455.36 : x
  2. Step 2: Convert to fraction form
    496.14/745.05 = 455.36/x
  3. Step 3: Cross multiply
    496.14x = 745.05 × 455.36
  4. Step 4: Simplify right side
    496.14x = 339,262.24
  5. Step 5: Solve for x
    x = 339,262.24/496.14
  6. Step 6: Final answer
    x = 683.80

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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.