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Finding the Fourth Proportional to 592.85, 817.79 and 371.42

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Solution

The fourth proportional to 592.85, 817.79 and 371.42 is: 512.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.85 : 817.79 = 371.42 : x
  2. Step 2: Convert to fraction form
    592.85/817.79 = 371.42/x
  3. Step 3: Cross multiply
    592.85x = 817.79 × 371.42
  4. Step 4: Simplify right side
    592.85x = 303,743.56
  5. Step 5: Solve for x
    x = 303,743.56/592.85
  6. Step 6: Final answer
    x = 512.34

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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.