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Finding the Fourth Proportional to 546.75, 754.11 and 380.97

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Solution

The fourth proportional to 546.75, 754.11 and 380.97 is: 525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 754.11 = 380.97 : x
  2. Step 2: Convert to fraction form
    546.75/754.11 = 380.97/x
  3. Step 3: Cross multiply
    546.75x = 754.11 × 380.97
  4. Step 4: Simplify right side
    546.75x = 287,293.29
  5. Step 5: Solve for x
    x = 287,293.29/546.75
  6. Step 6: Final answer
    x = 525.46

Related Problems

Find fourth proportional to 273.38, 377.06 and 190.49
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Double scale
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1.5x scale

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.