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Finding the Fourth Proportional to 419.12, 625.52 and 408.20

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Solution

The fourth proportional to 419.12, 625.52 and 408.20 is: 609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.12 : 625.52 = 408.20 : x
  2. Step 2: Convert to fraction form
    419.12/625.52 = 408.20/x
  3. Step 3: Cross multiply
    419.12x = 625.52 × 408.20
  4. Step 4: Simplify right side
    419.12x = 255,337.26
  5. Step 5: Solve for x
    x = 255,337.26/419.12
  6. Step 6: Final answer
    x = 609.22

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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.