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Finding the Fourth Proportional to 613.98, 920.84 and 305.60

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Solution

The fourth proportional to 613.98, 920.84 and 305.60 is: 458.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.98 : 920.84 = 305.60 : x
  2. Step 2: Convert to fraction form
    613.98/920.84 = 305.60/x
  3. Step 3: Cross multiply
    613.98x = 920.84 × 305.60
  4. Step 4: Simplify right side
    613.98x = 281,402.57
  5. Step 5: Solve for x
    x = 281,402.57/613.98
  6. Step 6: Final answer
    x = 458.33

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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.