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Finding the Fourth Proportional to 592.09, 816.89 and 343.28

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Solution

The fourth proportional to 592.09, 816.89 and 343.28 is: 473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.09 : 816.89 = 343.28 : x
  2. Step 2: Convert to fraction form
    592.09/816.89 = 343.28/x
  3. Step 3: Cross multiply
    592.09x = 816.89 × 343.28
  4. Step 4: Simplify right side
    592.09x = 280,422.33
  5. Step 5: Solve for x
    x = 280,422.33/592.09
  6. Step 6: Final answer
    x = 473.62

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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.