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Finding the Fourth Proportional to 546.19, 749.50 and 496.69

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Solution

The fourth proportional to 546.19, 749.50 and 496.69 is: 681.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 749.50 = 496.69 : x
  2. Step 2: Convert to fraction form
    546.19/749.50 = 496.69/x
  3. Step 3: Cross multiply
    546.19x = 749.50 × 496.69
  4. Step 4: Simplify right side
    546.19x = 372,270.40
  5. Step 5: Solve for x
    x = 372,270.40/546.19
  6. Step 6: Final answer
    x = 681.58

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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.