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Finding the Fourth Proportional to 613.73, 919.42 and 381.53

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Solution

The fourth proportional to 613.73, 919.42 and 381.53 is: 571.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.73 : 919.42 = 381.53 : x
  2. Step 2: Convert to fraction form
    613.73/919.42 = 381.53/x
  3. Step 3: Cross multiply
    613.73x = 919.42 × 381.53
  4. Step 4: Simplify right side
    613.73x = 350,780.76
  5. Step 5: Solve for x
    x = 350,780.76/613.73
  6. Step 6: Final answer
    x = 571.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.