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Finding the Fourth Proportional to 550.56, 759.84 and 340.78

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Solution

The fourth proportional to 550.56, 759.84 and 340.78 is: 470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.56 : 759.84 = 340.78 : x
  2. Step 2: Convert to fraction form
    550.56/759.84 = 340.78/x
  3. Step 3: Cross multiply
    550.56x = 759.84 × 340.78
  4. Step 4: Simplify right side
    550.56x = 258,938.28
  5. Step 5: Solve for x
    x = 258,938.28/550.56
  6. Step 6: Final answer
    x = 470.32

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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.