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Finding the Fourth Proportional to 591.98, 816.89 and 326.38

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Solution

The fourth proportional to 591.98, 816.89 and 326.38 is: 450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.98 : 816.89 = 326.38 : x
  2. Step 2: Convert to fraction form
    591.98/816.89 = 326.38/x
  3. Step 3: Cross multiply
    591.98x = 816.89 × 326.38
  4. Step 4: Simplify right side
    591.98x = 266,614.42
  5. Step 5: Solve for x
    x = 266,614.42/591.98
  6. Step 6: Final answer
    x = 450.38

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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.