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Finding the Fourth Proportional to 540.06, 804.74 and 513.87

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Solution

The fourth proportional to 540.06, 804.74 and 513.87 is: 765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 804.74 = 513.87 : x
  2. Step 2: Convert to fraction form
    540.06/804.74 = 513.87/x
  3. Step 3: Cross multiply
    540.06x = 804.74 × 513.87
  4. Step 4: Simplify right side
    540.06x = 413,531.74
  5. Step 5: Solve for x
    x = 413,531.74/540.06
  6. Step 6: Final answer
    x = 765.71

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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.