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Finding the Fourth Proportional to 547.38, 757.36 and 477.58

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Solution

The fourth proportional to 547.38, 757.36 and 477.58 is: 660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.38 : 757.36 = 477.58 : x
  2. Step 2: Convert to fraction form
    547.38/757.36 = 477.58/x
  3. Step 3: Cross multiply
    547.38x = 757.36 × 477.58
  4. Step 4: Simplify right side
    547.38x = 361,699.99
  5. Step 5: Solve for x
    x = 361,699.99/547.38
  6. Step 6: Final answer
    x = 660.78

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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.