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Finding the Fourth Proportional to 387.86, 584.85 and 380.57

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Solution

The fourth proportional to 387.86, 584.85 and 380.57 is: 573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.86 : 584.85 = 380.57 : x
  2. Step 2: Convert to fraction form
    387.86/584.85 = 380.57/x
  3. Step 3: Cross multiply
    387.86x = 584.85 × 380.57
  4. Step 4: Simplify right side
    387.86x = 222,573.44
  5. Step 5: Solve for x
    x = 222,573.44/387.86
  6. Step 6: Final answer
    x = 573.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.