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Finding the Fourth Proportional to 550.72, 759.68 and 340.80

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Solution

The fourth proportional to 550.72, 759.68 and 340.80 is: 470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.72 : 759.68 = 340.80 : x
  2. Step 2: Convert to fraction form
    550.72/759.68 = 340.80/x
  3. Step 3: Cross multiply
    550.72x = 759.68 × 340.80
  4. Step 4: Simplify right side
    550.72x = 258,898.94
  5. Step 5: Solve for x
    x = 258,898.94/550.72
  6. Step 6: Final answer
    x = 470.11

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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.