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Finding the Fourth Proportional to 605.44, 834.91 and 384.31

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Solution

The fourth proportional to 605.44, 834.91 and 384.31 is: 529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.44 : 834.91 = 384.31 : x
  2. Step 2: Convert to fraction form
    605.44/834.91 = 384.31/x
  3. Step 3: Cross multiply
    605.44x = 834.91 × 384.31
  4. Step 4: Simplify right side
    605.44x = 320,864.34
  5. Step 5: Solve for x
    x = 320,864.34/605.44
  6. Step 6: Final answer
    x = 529.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.