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Finding the Fourth Proportional to 499.68, 745.61 and 447.75

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Solution

The fourth proportional to 499.68, 745.61 and 447.75 is: 668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.68 : 745.61 = 447.75 : x
  2. Step 2: Convert to fraction form
    499.68/745.61 = 447.75/x
  3. Step 3: Cross multiply
    499.68x = 745.61 × 447.75
  4. Step 4: Simplify right side
    499.68x = 333,844.64
  5. Step 5: Solve for x
    x = 333,844.64/499.68
  6. Step 6: Final answer
    x = 668.12

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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.