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Finding the Fourth Proportional to 546.41, 754.79 and 399.86

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Solution

The fourth proportional to 546.41, 754.79 and 399.86 is: 552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.41 : 754.79 = 399.86 : x
  2. Step 2: Convert to fraction form
    546.41/754.79 = 399.86/x
  3. Step 3: Cross multiply
    546.41x = 754.79 × 399.86
  4. Step 4: Simplify right side
    546.41x = 301,804.56
  5. Step 5: Solve for x
    x = 301,804.56/546.41
  6. Step 6: Final answer
    x = 552.35

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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.