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Finding the Fourth Proportional to 419.90, 634.61 and 412.71

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Solution

The fourth proportional to 419.90, 634.61 and 412.71 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 634.61 = 412.71 : x
  2. Step 2: Convert to fraction form
    419.90/634.61 = 412.71/x
  3. Step 3: Cross multiply
    419.90x = 634.61 × 412.71
  4. Step 4: Simplify right side
    419.90x = 261,907.83
  5. Step 5: Solve for x
    x = 261,907.83/419.90
  6. Step 6: Final answer
    x = 623.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.