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Finding the Fourth Proportional to 394.26, 588.43 and 387.77

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Solution

The fourth proportional to 394.26, 588.43 and 387.77 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.26 : 588.43 = 387.77 : x
  2. Step 2: Convert to fraction form
    394.26/588.43 = 387.77/x
  3. Step 3: Cross multiply
    394.26x = 588.43 × 387.77
  4. Step 4: Simplify right side
    394.26x = 228,175.50
  5. Step 5: Solve for x
    x = 228,175.50/394.26
  6. Step 6: Final answer
    x = 578.74

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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.