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Finding the Fourth Proportional to 551.03, 827.04 and 419.30

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Solution

The fourth proportional to 551.03, 827.04 and 419.30 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.03 : 827.04 = 419.30 : x
  2. Step 2: Convert to fraction form
    551.03/827.04 = 419.30/x
  3. Step 3: Cross multiply
    551.03x = 827.04 × 419.30
  4. Step 4: Simplify right side
    551.03x = 346,778.41
  5. Step 5: Solve for x
    x = 346,778.41/551.03
  6. Step 6: Final answer
    x = 629.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.