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Finding the Fourth Proportional to 422.92, 578.49 and 416.58

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Solution

The fourth proportional to 422.92, 578.49 and 416.58 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.92 : 578.49 = 416.58 : x
  2. Step 2: Convert to fraction form
    422.92/578.49 = 416.58/x
  3. Step 3: Cross multiply
    422.92x = 578.49 × 416.58
  4. Step 4: Simplify right side
    422.92x = 240,987.36
  5. Step 5: Solve for x
    x = 240,987.36/422.92
  6. Step 6: Final answer
    x = 569.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.