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Finding the Fourth Proportional to 591.39, 816.06 and 342.75

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Solution

The fourth proportional to 591.39, 816.06 and 342.75 is: 472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.39 : 816.06 = 342.75 : x
  2. Step 2: Convert to fraction form
    591.39/816.06 = 342.75/x
  3. Step 3: Cross multiply
    591.39x = 816.06 × 342.75
  4. Step 4: Simplify right side
    591.39x = 279,704.57
  5. Step 5: Solve for x
    x = 279,704.57/591.39
  6. Step 6: Final answer
    x = 472.96

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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.