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Finding the Fourth Proportional to 540.96, 746.94 and 375.72

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Solution

The fourth proportional to 540.96, 746.94 and 375.72 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.96 : 746.94 = 375.72 : x
  2. Step 2: Convert to fraction form
    540.96/746.94 = 375.72/x
  3. Step 3: Cross multiply
    540.96x = 746.94 × 375.72
  4. Step 4: Simplify right side
    540.96x = 280,640.30
  5. Step 5: Solve for x
    x = 280,640.30/540.96
  6. Step 6: Final answer
    x = 518.78

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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.