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Finding the Fourth Proportional to 613.49, 919.43 and 394.03

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Solution

The fourth proportional to 613.49, 919.43 and 394.03 is: 590.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.49 : 919.43 = 394.03 : x
  2. Step 2: Convert to fraction form
    613.49/919.43 = 394.03/x
  3. Step 3: Cross multiply
    613.49x = 919.43 × 394.03
  4. Step 4: Simplify right side
    613.49x = 362,283.00
  5. Step 5: Solve for x
    x = 362,283.00/613.49
  6. Step 6: Final answer
    x = 590.53

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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.