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Finding the Fourth Proportional to 540.37, 744.67 and 374.27

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Solution

The fourth proportional to 540.37, 744.67 and 374.27 is: 515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.37 : 744.67 = 374.27 : x
  2. Step 2: Convert to fraction form
    540.37/744.67 = 374.27/x
  3. Step 3: Cross multiply
    540.37x = 744.67 × 374.27
  4. Step 4: Simplify right side
    540.37x = 278,708.57
  5. Step 5: Solve for x
    x = 278,708.57/540.37
  6. Step 6: Final answer
    x = 515.78

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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.