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Finding the Fourth Proportional to 547.20, 757.02 and 448.76

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Solution

The fourth proportional to 547.20, 757.02 and 448.76 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 757.02 = 448.76 : x
  2. Step 2: Convert to fraction form
    547.20/757.02 = 448.76/x
  3. Step 3: Cross multiply
    547.20x = 757.02 × 448.76
  4. Step 4: Simplify right side
    547.20x = 339,720.30
  5. Step 5: Solve for x
    x = 339,720.30/547.20
  6. Step 6: Final answer
    x = 620.83

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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.