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Finding the Fourth Proportional to 591.63, 816.43 and 326.08

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Solution

The fourth proportional to 591.63, 816.43 and 326.08 is: 449.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.63 : 816.43 = 326.08 : x
  2. Step 2: Convert to fraction form
    591.63/816.43 = 326.08/x
  3. Step 3: Cross multiply
    591.63x = 816.43 × 326.08
  4. Step 4: Simplify right side
    591.63x = 266,221.49
  5. Step 5: Solve for x
    x = 266,221.49/591.63
  6. Step 6: Final answer
    x = 449.98

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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.