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Finding the Fourth Proportional to 589.99, 814.17 and 324.43

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Solution

The fourth proportional to 589.99, 814.17 and 324.43 is: 447.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.99 : 814.17 = 324.43 : x
  2. Step 2: Convert to fraction form
    589.99/814.17 = 324.43/x
  3. Step 3: Cross multiply
    589.99x = 814.17 × 324.43
  4. Step 4: Simplify right side
    589.99x = 264,144.02
  5. Step 5: Solve for x
    x = 264,144.02/589.99
  6. Step 6: Final answer
    x = 447.71

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1.5x scale

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.