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Finding the Fourth Proportional to 398.57, 550.76 and 379.60

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Solution

The fourth proportional to 398.57, 550.76 and 379.60 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.57 : 550.76 = 379.60 : x
  2. Step 2: Convert to fraction form
    398.57/550.76 = 379.60/x
  3. Step 3: Cross multiply
    398.57x = 550.76 × 379.60
  4. Step 4: Simplify right side
    398.57x = 209,065.22
  5. Step 5: Solve for x
    x = 209,065.22/398.57
  6. Step 6: Final answer
    x = 524.54

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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.