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Finding the Fourth Proportional to 591.22, 815.63 and 394.80

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Solution

The fourth proportional to 591.22, 815.63 and 394.80 is: 544.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.22 : 815.63 = 394.80 : x
  2. Step 2: Convert to fraction form
    591.22/815.63 = 394.80/x
  3. Step 3: Cross multiply
    591.22x = 815.63 × 394.80
  4. Step 4: Simplify right side
    591.22x = 322,010.72
  5. Step 5: Solve for x
    x = 322,010.72/591.22
  6. Step 6: Final answer
    x = 544.65

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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.