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Finding the Fourth Proportional to 551.39, 827.43 and 320.39

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Solution

The fourth proportional to 551.39, 827.43 and 320.39 is: 480.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.39 : 827.43 = 320.39 : x
  2. Step 2: Convert to fraction form
    551.39/827.43 = 320.39/x
  3. Step 3: Cross multiply
    551.39x = 827.43 × 320.39
  4. Step 4: Simplify right side
    551.39x = 265,099.86
  5. Step 5: Solve for x
    x = 265,099.86/551.39
  6. Step 6: Final answer
    x = 480.78

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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.