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Finding the Fourth Proportional to 548.06, 751.34 and 546.46

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Solution

The fourth proportional to 548.06, 751.34 and 546.46 is: 749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.06 : 751.34 = 546.46 : x
  2. Step 2: Convert to fraction form
    548.06/751.34 = 546.46/x
  3. Step 3: Cross multiply
    548.06x = 751.34 × 546.46
  4. Step 4: Simplify right side
    548.06x = 410,576.74
  5. Step 5: Solve for x
    x = 410,576.74/548.06
  6. Step 6: Final answer
    x = 749.15

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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.