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Finding the Fourth Proportional to 541.60, 746.22 and 394

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Solution

The fourth proportional to 541.60, 746.22 and 394 is: 542.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.60 : 746.22 = 394 : x
  2. Step 2: Convert to fraction form
    541.60/746.22 = 394/x
  3. Step 3: Cross multiply
    541.60x = 746.22 × 394
  4. Step 4: Simplify right side
    541.60x = 294,010.68
  5. Step 5: Solve for x
    x = 294,010.68/541.60
  6. Step 6: Final answer
    x = 542.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.