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Finding the Fourth Proportional to 392.55, 584.97 and 379.49

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Solution

The fourth proportional to 392.55, 584.97 and 379.49 is: 565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.55 : 584.97 = 379.49 : x
  2. Step 2: Convert to fraction form
    392.55/584.97 = 379.49/x
  3. Step 3: Cross multiply
    392.55x = 584.97 × 379.49
  4. Step 4: Simplify right side
    392.55x = 221,988.05
  5. Step 5: Solve for x
    x = 221,988.05/392.55
  6. Step 6: Final answer
    x = 565.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.