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Finding the Fourth Proportional to 578.04, 796.68 and 422.52

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Solution

The fourth proportional to 578.04, 796.68 and 422.52 is: 582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.04 : 796.68 = 422.52 : x
  2. Step 2: Convert to fraction form
    578.04/796.68 = 422.52/x
  3. Step 3: Cross multiply
    578.04x = 796.68 × 422.52
  4. Step 4: Simplify right side
    578.04x = 336,613.23
  5. Step 5: Solve for x
    x = 336,613.23/578.04
  6. Step 6: Final answer
    x = 582.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.