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Finding the Fourth Proportional to 550.57, 759.76 and 317.70

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Solution

The fourth proportional to 550.57, 759.76 and 317.70 is: 438.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.57 : 759.76 = 317.70 : x
  2. Step 2: Convert to fraction form
    550.57/759.76 = 317.70/x
  3. Step 3: Cross multiply
    550.57x = 759.76 × 317.70
  4. Step 4: Simplify right side
    550.57x = 241,375.75
  5. Step 5: Solve for x
    x = 241,375.75/550.57
  6. Step 6: Final answer
    x = 438.41

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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.