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Finding the Fourth Proportional to 613.56, 920.84 and 305.67

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Solution

The fourth proportional to 613.56, 920.84 and 305.67 is: 458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.56 : 920.84 = 305.67 : x
  2. Step 2: Convert to fraction form
    613.56/920.84 = 305.67/x
  3. Step 3: Cross multiply
    613.56x = 920.84 × 305.67
  4. Step 4: Simplify right side
    613.56x = 281,471.63
  5. Step 5: Solve for x
    x = 281,471.63/613.56
  6. Step 6: Final answer
    x = 458.75

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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.