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Finding the Fourth Proportional to 550.98, 759.85 and 496.31

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Solution

The fourth proportional to 550.98, 759.85 and 496.31 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.98 : 759.85 = 496.31 : x
  2. Step 2: Convert to fraction form
    550.98/759.85 = 496.31/x
  3. Step 3: Cross multiply
    550.98x = 759.85 × 496.31
  4. Step 4: Simplify right side
    550.98x = 377,116.11
  5. Step 5: Solve for x
    x = 377,116.11/550.98
  6. Step 6: Final answer
    x = 684.45

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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.