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Finding the Fourth Proportional to 613.62, 919.82 and 339.84

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Solution

The fourth proportional to 613.62, 919.82 and 339.84 is: 509.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.62 : 919.82 = 339.84 : x
  2. Step 2: Convert to fraction form
    613.62/919.82 = 339.84/x
  3. Step 3: Cross multiply
    613.62x = 919.82 × 339.84
  4. Step 4: Simplify right side
    613.62x = 312,591.63
  5. Step 5: Solve for x
    x = 312,591.63/613.62
  6. Step 6: Final answer
    x = 509.42

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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.