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Finding the Fourth Proportional to 546.50, 754.47 and 391.52

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Solution

The fourth proportional to 546.50, 754.47 and 391.52 is: 540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.50 : 754.47 = 391.52 : x
  2. Step 2: Convert to fraction form
    546.50/754.47 = 391.52/x
  3. Step 3: Cross multiply
    546.50x = 754.47 × 391.52
  4. Step 4: Simplify right side
    546.50x = 295,390.09
  5. Step 5: Solve for x
    x = 295,390.09/546.50
  6. Step 6: Final answer
    x = 540.51

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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.