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Finding the Fourth Proportional to 426.26, 584.68 and 419.38

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Solution

The fourth proportional to 426.26, 584.68 and 419.38 is: 575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.26 : 584.68 = 419.38 : x
  2. Step 2: Convert to fraction form
    426.26/584.68 = 419.38/x
  3. Step 3: Cross multiply
    426.26x = 584.68 × 419.38
  4. Step 4: Simplify right side
    426.26x = 245,203.10
  5. Step 5: Solve for x
    x = 245,203.10/426.26
  6. Step 6: Final answer
    x = 575.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.