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Finding the Fourth Proportional to 550.25, 759.37 and 314.27

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Solution

The fourth proportional to 550.25, 759.37 and 314.27 is: 433.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.25 : 759.37 = 314.27 : x
  2. Step 2: Convert to fraction form
    550.25/759.37 = 314.27/x
  3. Step 3: Cross multiply
    550.25x = 759.37 × 314.27
  4. Step 4: Simplify right side
    550.25x = 238,647.21
  5. Step 5: Solve for x
    x = 238,647.21/550.25
  6. Step 6: Final answer
    x = 433.71

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1.5x scale

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.