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Finding the Fourth Proportional to 426.44, 636 and 419.15

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Solution

The fourth proportional to 426.44, 636 and 419.15 is: 625.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.44 : 636 = 419.15 : x
  2. Step 2: Convert to fraction form
    426.44/636 = 419.15/x
  3. Step 3: Cross multiply
    426.44x = 636 × 419.15
  4. Step 4: Simplify right side
    426.44x = 266,579.40
  5. Step 5: Solve for x
    x = 266,579.40/426.44
  6. Step 6: Final answer
    x = 625.13

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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.