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Finding the Fourth Proportional to 419.99, 582.04 and 414.12

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Solution

The fourth proportional to 419.99, 582.04 and 414.12 is: 573.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 582.04 = 414.12 : x
  2. Step 2: Convert to fraction form
    419.99/582.04 = 414.12/x
  3. Step 3: Cross multiply
    419.99x = 582.04 × 414.12
  4. Step 4: Simplify right side
    419.99x = 241,034.40
  5. Step 5: Solve for x
    x = 241,034.40/419.99
  6. Step 6: Final answer
    x = 573.91

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.