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Finding the Fourth Proportional to 591.82, 816.71 and 343.19

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Solution

The fourth proportional to 591.82, 816.71 and 343.19 is: 473.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.82 : 816.71 = 343.19 : x
  2. Step 2: Convert to fraction form
    591.82/816.71 = 343.19/x
  3. Step 3: Cross multiply
    591.82x = 816.71 × 343.19
  4. Step 4: Simplify right side
    591.82x = 280,282.19
  5. Step 5: Solve for x
    x = 280,282.19/591.82
  6. Step 6: Final answer
    x = 473.60

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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.