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Finding the Fourth Proportional to 419.65, 579.83 and 404.86

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Solution

The fourth proportional to 419.65, 579.83 and 404.86 is: 559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.65 : 579.83 = 404.86 : x
  2. Step 2: Convert to fraction form
    419.65/579.83 = 404.86/x
  3. Step 3: Cross multiply
    419.65x = 579.83 × 404.86
  4. Step 4: Simplify right side
    419.65x = 234,749.97
  5. Step 5: Solve for x
    x = 234,749.97/419.65
  6. Step 6: Final answer
    x = 559.39

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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.