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Finding the Fourth Proportional to 546.09, 754.43 and 498.57

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Solution

The fourth proportional to 546.09, 754.43 and 498.57 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.09 : 754.43 = 498.57 : x
  2. Step 2: Convert to fraction form
    546.09/754.43 = 498.57/x
  3. Step 3: Cross multiply
    546.09x = 754.43 × 498.57
  4. Step 4: Simplify right side
    546.09x = 376,133.67
  5. Step 5: Solve for x
    x = 376,133.67/546.09
  6. Step 6: Final answer
    x = 688.78

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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.