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Finding the Fourth Proportional to 550.78, 759.98 and 314.73

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Solution

The fourth proportional to 550.78, 759.98 and 314.73 is: 434.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.78 : 759.98 = 314.73 : x
  2. Step 2: Convert to fraction form
    550.78/759.98 = 314.73/x
  3. Step 3: Cross multiply
    550.78x = 759.98 × 314.73
  4. Step 4: Simplify right side
    550.78x = 239,189.29
  5. Step 5: Solve for x
    x = 239,189.29/550.78
  6. Step 6: Final answer
    x = 434.28

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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.