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Finding the Fourth Proportional to 613.54, 919.28 and 439.32

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Solution

The fourth proportional to 613.54, 919.28 and 439.32 is: 658.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.54 : 919.28 = 439.32 : x
  2. Step 2: Convert to fraction form
    613.54/919.28 = 439.32/x
  3. Step 3: Cross multiply
    613.54x = 919.28 × 439.32
  4. Step 4: Simplify right side
    613.54x = 403,858.09
  5. Step 5: Solve for x
    x = 403,858.09/613.54
  6. Step 6: Final answer
    x = 658.24

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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.