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Finding the Fourth Proportional to 446.58, 665.91 and 416.79

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Solution

The fourth proportional to 446.58, 665.91 and 416.79 is: 621.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.58 : 665.91 = 416.79 : x
  2. Step 2: Convert to fraction form
    446.58/665.91 = 416.79/x
  3. Step 3: Cross multiply
    446.58x = 665.91 × 416.79
  4. Step 4: Simplify right side
    446.58x = 277,544.63
  5. Step 5: Solve for x
    x = 277,544.63/446.58
  6. Step 6: Final answer
    x = 621.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.