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Finding the Fourth Proportional to 592.21, 817.25 and 343.55

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Solution

The fourth proportional to 592.21, 817.25 and 343.55 is: 474.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.21 : 817.25 = 343.55 : x
  2. Step 2: Convert to fraction form
    592.21/817.25 = 343.55/x
  3. Step 3: Cross multiply
    592.21x = 817.25 × 343.55
  4. Step 4: Simplify right side
    592.21x = 280,763.25
  5. Step 5: Solve for x
    x = 280,763.25/592.21
  6. Step 6: Final answer
    x = 474.09

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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.