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Finding the Fourth Proportional to 419.70, 579.01 and 286.71

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Solution

The fourth proportional to 419.70, 579.01 and 286.71 is: 395.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.70 : 579.01 = 286.71 : x
  2. Step 2: Convert to fraction form
    419.70/579.01 = 286.71/x
  3. Step 3: Cross multiply
    419.70x = 579.01 × 286.71
  4. Step 4: Simplify right side
    419.70x = 166,006.61
  5. Step 5: Solve for x
    x = 166,006.61/419.70
  6. Step 6: Final answer
    x = 395.54

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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.