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Finding the Fourth Proportional to 394.25, 591.57 and 387.45

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Solution

The fourth proportional to 394.25, 591.57 and 387.45 is: 581.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.25 : 591.57 = 387.45 : x
  2. Step 2: Convert to fraction form
    394.25/591.57 = 387.45/x
  3. Step 3: Cross multiply
    394.25x = 591.57 × 387.45
  4. Step 4: Simplify right side
    394.25x = 229,203.80
  5. Step 5: Solve for x
    x = 229,203.80/394.25
  6. Step 6: Final answer
    x = 581.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.