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Finding the Fourth Proportional to 395.68, 594.96 and 379.84

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Solution

The fourth proportional to 395.68, 594.96 and 379.84 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 594.96 = 379.84 : x
  2. Step 2: Convert to fraction form
    395.68/594.96 = 379.84/x
  3. Step 3: Cross multiply
    395.68x = 594.96 × 379.84
  4. Step 4: Simplify right side
    395.68x = 225,989.61
  5. Step 5: Solve for x
    x = 225,989.61/395.68
  6. Step 6: Final answer
    x = 571.14

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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.