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Finding the Fourth Proportional to 827.99, 1,242.07 and 334.56

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Solution

The fourth proportional to 827.99, 1,242.07 and 334.56 is: 501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.99 : 1,242.07 = 334.56 : x
  2. Step 2: Convert to fraction form
    827.99/1,242.07 = 334.56/x
  3. Step 3: Cross multiply
    827.99x = 1,242.07 × 334.56
  4. Step 4: Simplify right side
    827.99x = 415,550.76
  5. Step 5: Solve for x
    x = 415,550.76/827.99
  6. Step 6: Final answer
    x = 501.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.