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Finding the Fourth Proportional to 613.92, 919.44 and 357.60

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Solution

The fourth proportional to 613.92, 919.44 and 357.60 is: 535.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.92 : 919.44 = 357.60 : x
  2. Step 2: Convert to fraction form
    613.92/919.44 = 357.60/x
  3. Step 3: Cross multiply
    613.92x = 919.44 × 357.60
  4. Step 4: Simplify right side
    613.92x = 328,791.74
  5. Step 5: Solve for x
    x = 328,791.74/613.92
  6. Step 6: Final answer
    x = 535.56

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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.