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Finding the Fourth Proportional to 547.45, 755.45 and 298.76

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Solution

The fourth proportional to 547.45, 755.45 and 298.76 is: 412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.45 : 755.45 = 298.76 : x
  2. Step 2: Convert to fraction form
    547.45/755.45 = 298.76/x
  3. Step 3: Cross multiply
    547.45x = 755.45 × 298.76
  4. Step 4: Simplify right side
    547.45x = 225,692.97
  5. Step 5: Solve for x
    x = 225,692.97/547.45
  6. Step 6: Final answer
    x = 412.26

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Find fourth proportional to 273.72, 377.72 and 149.38
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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.