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Finding the Fourth Proportional to 496.71, 745.25 and 419.90

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Solution

The fourth proportional to 496.71, 745.25 and 419.90 is: 629.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.71 : 745.25 = 419.90 : x
  2. Step 2: Convert to fraction form
    496.71/745.25 = 419.90/x
  3. Step 3: Cross multiply
    496.71x = 745.25 × 419.90
  4. Step 4: Simplify right side
    496.71x = 312,924.65
  5. Step 5: Solve for x
    x = 312,924.65/496.71
  6. Step 6: Final answer
    x = 629.99

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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.