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Finding the Fourth Proportional to 592.70, 817.99 and 415.49

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Solution

The fourth proportional to 592.70, 817.99 and 415.49 is: 573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.70 : 817.99 = 415.49 : x
  2. Step 2: Convert to fraction form
    592.70/817.99 = 415.49/x
  3. Step 3: Cross multiply
    592.70x = 817.99 × 415.49
  4. Step 4: Simplify right side
    592.70x = 339,861.54
  5. Step 5: Solve for x
    x = 339,861.54/592.70
  6. Step 6: Final answer
    x = 573.42

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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.