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Finding the Fourth Proportional to 698.46, 962.82 and 550.80

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Solution

The fourth proportional to 698.46, 962.82 and 550.80 is: 759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.46 : 962.82 = 550.80 : x
  2. Step 2: Convert to fraction form
    698.46/962.82 = 550.80/x
  3. Step 3: Cross multiply
    698.46x = 962.82 × 550.80
  4. Step 4: Simplify right side
    698.46x = 530,321.26
  5. Step 5: Solve for x
    x = 530,321.26/698.46
  6. Step 6: Final answer
    x = 759.27

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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.