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Finding the Fourth Proportional to 546.13, 749.42 and 496.63

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Solution

The fourth proportional to 546.13, 749.42 and 496.63 is: 681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.13 : 749.42 = 496.63 : x
  2. Step 2: Convert to fraction form
    546.13/749.42 = 496.63/x
  3. Step 3: Cross multiply
    546.13x = 749.42 × 496.63
  4. Step 4: Simplify right side
    546.13x = 372,181.34
  5. Step 5: Solve for x
    x = 372,181.34/546.13
  6. Step 6: Final answer
    x = 681.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.