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Finding the Fourth Proportional to 613.53, 920.27 and 427.90

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Solution

The fourth proportional to 613.53, 920.27 and 427.90 is: 641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.53 : 920.27 = 427.90 : x
  2. Step 2: Convert to fraction form
    613.53/920.27 = 427.90/x
  3. Step 3: Cross multiply
    613.53x = 920.27 × 427.90
  4. Step 4: Simplify right side
    613.53x = 393,783.53
  5. Step 5: Solve for x
    x = 393,783.53/613.53
  6. Step 6: Final answer
    x = 641.83

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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.