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Finding the Fourth Proportional to 540.44, 804.92 and 506.72

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Solution

The fourth proportional to 540.44, 804.92 and 506.72 is: 754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.44 : 804.92 = 506.72 : x
  2. Step 2: Convert to fraction form
    540.44/804.92 = 506.72/x
  3. Step 3: Cross multiply
    540.44x = 804.92 × 506.72
  4. Step 4: Simplify right side
    540.44x = 407,871.39
  5. Step 5: Solve for x
    x = 407,871.39/540.44
  6. Step 6: Final answer
    x = 754.70

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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.