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Finding the Fourth Proportional to 419.54, 579.09 and 286.58

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Solution

The fourth proportional to 419.54, 579.09 and 286.58 is: 395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 579.09 = 286.58 : x
  2. Step 2: Convert to fraction form
    419.54/579.09 = 286.58/x
  3. Step 3: Cross multiply
    419.54x = 579.09 × 286.58
  4. Step 4: Simplify right side
    419.54x = 165,955.61
  5. Step 5: Solve for x
    x = 165,955.61/419.54
  6. Step 6: Final answer
    x = 395.57

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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.