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Finding the Fourth Proportional to 404.22, 602.52 and 396.84

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Solution

The fourth proportional to 404.22, 602.52 and 396.84 is: 591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.22 : 602.52 = 396.84 : x
  2. Step 2: Convert to fraction form
    404.22/602.52 = 396.84/x
  3. Step 3: Cross multiply
    404.22x = 602.52 × 396.84
  4. Step 4: Simplify right side
    404.22x = 239,104.04
  5. Step 5: Solve for x
    x = 239,104.04/404.22
  6. Step 6: Final answer
    x = 591.52

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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.