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Finding the Fourth Proportional to 613.44, 920.80 and 396.48

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Solution

The fourth proportional to 613.44, 920.80 and 396.48 is: 595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.44 : 920.80 = 396.48 : x
  2. Step 2: Convert to fraction form
    613.44/920.80 = 396.48/x
  3. Step 3: Cross multiply
    613.44x = 920.80 × 396.48
  4. Step 4: Simplify right side
    613.44x = 365,078.78
  5. Step 5: Solve for x
    x = 365,078.78/613.44
  6. Step 6: Final answer
    x = 595.13

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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.