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Finding the Fourth Proportional to 546.75, 755.12 and 539.46

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Solution

The fourth proportional to 546.75, 755.12 and 539.46 is: 745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.75 : 755.12 = 539.46 : x
  2. Step 2: Convert to fraction form
    546.75/755.12 = 539.46/x
  3. Step 3: Cross multiply
    546.75x = 755.12 × 539.46
  4. Step 4: Simplify right side
    546.75x = 407,358.38
  5. Step 5: Solve for x
    x = 407,358.38/546.75
  6. Step 6: Final answer
    x = 745.05

Related Problems

Find fourth proportional to 273.38, 377.56 and 269.73
Half scale
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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.