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Finding the Fourth Proportional to 591.97, 816.90 and 326.42

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Solution

The fourth proportional to 591.97, 816.90 and 326.42 is: 450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.97 : 816.90 = 326.42 : x
  2. Step 2: Convert to fraction form
    591.97/816.90 = 326.42/x
  3. Step 3: Cross multiply
    591.97x = 816.90 × 326.42
  4. Step 4: Simplify right side
    591.97x = 266,652.50
  5. Step 5: Solve for x
    x = 266,652.50/591.97
  6. Step 6: Final answer
    x = 450.45

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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.