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Finding the Fourth Proportional to 446.99, 619.38 and 419.58

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Solution

The fourth proportional to 446.99, 619.38 and 419.58 is: 581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.99 : 619.38 = 419.58 : x
  2. Step 2: Convert to fraction form
    446.99/619.38 = 419.58/x
  3. Step 3: Cross multiply
    446.99x = 619.38 × 419.58
  4. Step 4: Simplify right side
    446.99x = 259,879.46
  5. Step 5: Solve for x
    x = 259,879.46/446.99
  6. Step 6: Final answer
    x = 581.41

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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.