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Finding the Fourth Proportional to 419.90, 625.62 and 396.32

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Solution

The fourth proportional to 419.90, 625.62 and 396.32 is: 590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.90 : 625.62 = 396.32 : x
  2. Step 2: Convert to fraction form
    419.90/625.62 = 396.32/x
  3. Step 3: Cross multiply
    419.90x = 625.62 × 396.32
  4. Step 4: Simplify right side
    419.90x = 247,944.88
  5. Step 5: Solve for x
    x = 247,944.88/419.90
  6. Step 6: Final answer
    x = 590.49

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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.