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Finding the Fourth Proportional to 419.43, 578.43 and 286.59

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Solution

The fourth proportional to 419.43, 578.43 and 286.59 is: 395.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.43 : 578.43 = 286.59 : x
  2. Step 2: Convert to fraction form
    419.43/578.43 = 286.59/x
  3. Step 3: Cross multiply
    419.43x = 578.43 × 286.59
  4. Step 4: Simplify right side
    419.43x = 165,772.25
  5. Step 5: Solve for x
    x = 165,772.25/419.43
  6. Step 6: Final answer
    x = 395.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.