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Finding the Fourth Proportional to 418.98, 582.15 and 414.75

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Solution

The fourth proportional to 418.98, 582.15 and 414.75 is: 576.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.98 : 582.15 = 414.75 : x
  2. Step 2: Convert to fraction form
    418.98/582.15 = 414.75/x
  3. Step 3: Cross multiply
    418.98x = 582.15 × 414.75
  4. Step 4: Simplify right side
    418.98x = 241,446.71
  5. Step 5: Solve for x
    x = 241,446.71/418.98
  6. Step 6: Final answer
    x = 576.27

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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.