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Finding the Fourth Proportional to 550.62, 757.79 and 506.37

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Solution

The fourth proportional to 550.62, 757.79 and 506.37 is: 696.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.62 : 757.79 = 506.37 : x
  2. Step 2: Convert to fraction form
    550.62/757.79 = 506.37/x
  3. Step 3: Cross multiply
    550.62x = 757.79 × 506.37
  4. Step 4: Simplify right side
    550.62x = 383,721.48
  5. Step 5: Solve for x
    x = 383,721.48/550.62
  6. Step 6: Final answer
    x = 696.89

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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.